solve for x in : 5^{2x-1} =12^{x}

Answers

Answer 1

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer 2

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632


Related Questions

A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10

Answers

Answer:

t = 10h +25

Step-by-step explanation:

let x be the one-time fee

hourly rate is $10

From given condition,

35 = x + 10*1

x = 35 - 10

x = 25

Therefore equation will be

t = 10h +25

2) Add the following:

4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab



Answers

Answer:

8a2-8b2+7ab

Step-by-step explanation:

Putting together all of the a2 gets you to 8a2

Putting together all of the b2 gets you to -8b2

Putting together all of the ab gets you to 7ab

Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?

Answers

Answer:

Red paint needed = x = 17.5 ounces

Step-by-step explanation:

Ratio of red to blue paint = 5 ounces : 6 ounces

If she has 21 ounces of blue paint, how much red paint will she need?

Ratio of red to blue paint = x ounces : 21 ounces

Equate the ratios

5 : 6 = x : 21

5/6 = x/21

Cross multiply

5*21 = 6*x

105 = 6x

x = 105/6

x = 17.5 ounces

Red paint needed = x = 17.5 ounces

What are 3 of the 6 essential principles in Jefferson's Inaugural Address ?

brainliest if u get it right

Answers

Step-by-step explanation:

above guy is right. i donot about this.sorry and thanks.

Please find the value of x

Answers

the answer to this question is 18, since E bisects angle CBD, you know that CBE is half of it, therefore you do 94(angle CBD) and split it in half which is 47. then you do 3x-7=47. add 7 to both sides which gets you 3x=54. then divide both sides by 3. which is x=18. I hope this helps!

One direction or Jonas brothers (only one right answer)

Answers

Answer:

one direction

Step-by-step explanation:

of course one direction

magbigay ng apat elektronikong​

Answers

Answer:

Digital electronics.

Analogue electronics.

Microelectronics.

Circuit design.

Step-by-step explanation:

PLS NEED DONE ASAP 10 MINUTES TILL DUE

Answers

Well if 4 blue circles + 1 red triangle = 2 green squares + 1 red triangle, then 2 blue circles = 1 green square

Then 3 red + 2 blue = 1 green + 2 blue, so 3 red = 1 green

If we know these facts then

3 red = 2 blue = 1 green

So the bottom one is 6 reds = 2 greens, or 1 green + 2 blue.

This makes my head hurt. They’re making it harder than it is.

Hope I didn’t confuse you more.

Is y=-7 horizontal or vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

Y=7 is a horizontal line :)

Step-by-step explanation:

(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.

Simplify:
3b - 3 and 3.5b + 4


Answers

Step-by-step explanation:

3b-3=3(b-1)

3.5+4=7,5

if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h​

Answers

Answer:

C.15 km/h

Step-by-step explanation:

speed= distance/time

how to divide 134 800 by 240 using long method?​

Answers

Answer:

sumando

Step-by-step explanation:

sumando 240 134800 veces

Just want answers/brainliest if right!

Answers

Answer:

the first one is D, the second is B, hope this helps

Step-by-step explanation:

Which equation has no solution?

6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren

18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1

4(3x−7)=8(2x+3)

Answers

Answer:

The answer of the question is 6(5x+4)=3(10x+7)

Which point on the number line has the greatest absolute value? 1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)

Answers

Answer:

P(-6)

Step-by-step explanation:

1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)

The absolute value of a number disregards ir removed the negative sign from the number and treats as positive.

The absolute value of the numbers given in the option above :

P(-6) = |6|

Q(-2) = |2|

R(1) = |1|

S(5) = |5|

Hence, the option which has the greatest absolute value when arranged on a number line is |6|

What should be added with -7/12 so that the sum is 0 ?​

Answers

Answer:

7/12

Step-by-step explanation:

You need to get -7 to be a positive number so that its zero

-7+7=0

Then just add the denominator!!!

0/12=0

I hope this helps!!!!

Harry and his family travel 204 miles in 3.4 hours. If they continue at this constant​ speed, how long will it take them to travel 420 ​miles?

Answers

Answe

7

Step-by-step explanation:

204 dived by 3.5

i did 204 dived by 60 then

420 dived by 60

The time taken by the family to reach is T = 7 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed be represented as S

Now , the value of S is

S = D / T

speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour

where , the distance D = 420 miles

And , T = 420 / 60

T = 7 hours

Hence , the time taken for 420 miles is 7 hours

To learn more about speed click :

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Bir kutudaki kalemlerin sayısı, mavi renkli kalemlerin sayısından 48 fazladır. kutudaki kalemlerin sayısı, mavi kalem sayısının 9 katı olduğuna göre, kutuda kaç tane mavi kalem vardır​

Answers

Answer:

6

Step-by-step explanation:

Mavi kalemlerin sayısına x diyoruz

Kutudaki kalemlerin sayısı mavi kalemlerin sayısından 48 fazlaymış yani x+48 kutudaki kalemlerdir.

Kutudaki kalemlerin sayısı mavi kalem sayısının 9 katı ise x+48=9x olur

Şimdi denklemi çözmemiz lazım sol taraftaki x sağ tarafa - x olarak geçer sağ tarafda 8x kalır yeni denklemimiz 48=8x olur

Her iki tarafı da bilinmeyenin yanındaki sayıya böleriz bunun sonucu da 6=x çıkar

Mavi kalemlere de x demiştik yani 6 adet mavi kalem vardır.

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

can you please help me with this?​ 50pts if it's correct.

Answers

the answer for this problem is 3,-7

asap pls pls plslsspslsss

Answers

Answer:

The answer is the first one: y=3x+1

Step-by-step explanation:

For this question, you have to substitute different values of x and y in the table into the equation shown below the table.

y = 3x + 1

Sub x=4 and y=13

13 = 3(4) + 1

13 = 12 + 1

13 = 13

Sub x=2 and y=7

7 = 3(2) + 1

7 = 6 + 1

7 = 7

Sub x=0 and y=1

1 = 3(0) + 1

1 = 0 + 1

1 = 1

Sub x=-2 and y=-5

-5 = 3(-2) + 1

-5 = -6 + 1

-5 = -5

Hope it helps :)

License plates for motorcycles are different in each state. In New York they have five letters and in Maine they have four letters. How many more possibilities are there for license plates in New York? I feel like I'm overthinking this, someone help pls

Answers

Answer:

Not very many due to the fact that new york is more then just a busy place.

Step-by-step explanation:

Hope this helps Sorry if not

g(-4) and g(4)=
Using the graph

Answers

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

Answers

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

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how do you calculate the midpoint of question e)? I am very desperate. please help

Answers

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]

= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]

= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]

=(-1,-1)

Use the formula and plug it in :)

If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
and 18 juice boxes, what is the value of x?

Answers

the answer is 6 because 39/13=3 and 18/3=6

Answer:

6

Step-by-step explanation:

Just write the amount of milk cartons and juice cartons as a fraction and simplify it

39/18 the biggest common divisor for this is 3 so we divide the fraction by 3

13/6 x = 6

please help me with this

Answers

It’s gotta be C since the “b” term in the equation shows the y intercept; -3 is less than the rest. Don’t listen to the other guy commenting here!

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

What is the solution to the system of equations below?
y = two-fifths x minus 3 and x = –10

Answers

Answer:

y = -7

Explanation:

y = 2/5x - 3
x = -10

y = 2/5(-10) - 3

y = -4 - 3

y = -7

Answer:

y = 1

Step-by-step explanation:

Substitute -10 for x so the equation would be y=2/5-10-3

that would then be y=4-3

which would equal 1

8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4

Answers

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

Using the figure below, identify the sum of the angles. Then identify the measurement of the missing angles.

Answers

Answer:

x = 135

Step-by-step explanation:

The angles at the bottom are right angles (90°)

The sum of interior angles in this rectangle is equal to 720°

Find the sum of interior angles

4x + 180 = 720 subtract 180 from both sides

4x = 540 divide both sides by 4

x = 135 this is also giving us the measure of missing angles.

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