For what value of x does 4* =
-(1)***
8
O -15
O-3
03
O 15
?

Answers

Answer 1

For the function 4^x=(1/8)^(x+5), the value of x, using exponents' properties is obtained as option 2: x = -3.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The given function is - 4^x=(1/8)^(x+5)

This function can be solved using the properties of exponents.

The first property of exponents is - (a^m)^n = a^(m·n)

The second property of exponents is - 1/(a^n) = a^-n

Simplify the left hand side of the function -

4^x = (2²)^x

Using the first property of exponents -

(2²)^x = 2^(2x)

Simplify the right hand side of the function -

(1/8)^(x+5) = (1/2^3)^(x+5)

Using the second property of exponents -

(1/2^3)^(x+5) = (2^-3)^(x+5)

Using the first property of exponents -

(2^-3)^(x+5) = 2^(-3x - 15)

The function then becomes -

2^(2x) = 2^(-3x - 15)

Since, the base is same they cancel out.

2x = -3x - 15

2x + 3x = -15

5x = -15

x = -3

Therefore, the value of x is obtained as x = -3.

To learn more about exponent from the given link

https://brainly.com/question/11975096

#SPJ1


Related Questions

are the rates equivalent?

Answers

Answer:

No

Step-by-step explanation:

0.3/4= 0.075

0.9/15= 0.016

They aren't equal.

Answer:

no they are not

Step-by-step explanation:

cause I said

anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?

The number 5/7 can be best described as a(n) _____.

mixed number
improper fraction
proper fraction

Answers

Answer:

proper fraction

Step-by-step explanation:

Nope just yours l.ma0.

The answer is proper fraction.

2x-6y=12 and -5x+15y=-30 elimination

Answers

Answer:

unsolvable because the second equation is just -2.5 times the first equation.

Step-by-step explanation:

2x-6y=12    then   2x=12+6y     x=6+3y

-5x+15y=-30

substitute x

-5(6+3y)+15y=-30

-30-15y+15y=-30

y=y

What are three other names for range. ( This is for algebra)

Answers

Answer: area.
dimension.
length.
scope.

2. Jules conducted a survey and asked 100
people how many years of education they have
and what their annual income is. She used the
results to make a scatter plot.

What type of assoastion should she expect to see in the scatter plot

Answers

"Positive association" would be the answer.

Can anyone help me please
I’ll mark brainliest.

Answers

Answer:

1. his account will be 120

2. 6 weeks

3. Yes, Lala will get 120 in 4 weeks while Andra will get 100

If you wanted to know Andra equation will be y=20x+20

Step-by-step explanation:

Hope this helped

While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

2.5 quarts or 5/2

Step-by-step explanation:

Answer:

2/5 quarts or 0.4 quarts

Step-by-step explanation:

there are 25 persons

she made 10 quarts soup

10 quarts / 25 persons = 2/5 quarts = 0.4 quarts

imao help me with zearn

Answers

Answer:

4

Step-by-step explanation:

if there are 8 ounces for 2 then there are 4 ounces for 1.

Answer:

with what?

Step-by-step explanation:

How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?

Answers

Answer:

for step of kepp of yours alive

I believe 5.333 repeating.

24*3=72
So I believe all you do is divide 16 by 3. I may be wrong though. I’m sorry if this didn’t help.

If anyone can answer these questions that would help a lot. Besides 13 and 14

Answers

The answer to 12 is 10.

-2(-2-3)
10

Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=

Answers

Answer:

the answer is 56.25

Step-by-step explanation:

.32x=18

×=56.25

1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°

Answers

Read the top and you have your answer
The trigonmetric ratio is the answer... And if not then try brainlys quick answers

PLEASE HELP ME!! I will give brainliest

Answers

Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

Is -3x+5=-3x+8 infinate many solutions

Answers

Maybe




Know knows, calculate it

A water bottle costs $9.45. Sales tax is 7%. What is the total cost?

Answers

Answer:

$10.11

Step-by-step explanation:

Before Tax Price: $9.45

Sale Tax: 7.00% or $0.66

After Tax Price: $10.11

Answer:

9.46

Step-by-step explanation:

divide 9.45 by .07 then add that to 9.45 and round

Use the following table to find the Rate of Change.

Answers

Answer:

x=1 and y= 6

Step-by-step explanation:

and for y its a positive cause their both negitives

1.309 > 1.315 lololoolollooolllllllllllllllllllll

Answers

Answer:

I’m confused on what you want me to do but that is false

Step-by-step explanation:

Answer:

the answer is 1.309<1315

What type of decimal is 0.275

A. Repeating Decimal
B. Terminating Decimal
C. Non-Terminating Decimal
D Complex Decimal

Answers

D. Complex Decimal.

Answer:

Complex Decimal.

it is the correct answer.

Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above

Answers

none of the above
hope this helps :)
None of the above the answer would be 205
May God bless you and your family

The measures of the angles of a triangle are shown in the figure below.Solve for X.

Answers

Answer:

x=3

Step-by-step explanation:

51 degrees + (7x+18) degrees = 90 degrees

7x+18=90-51

7x+18=39

7x+18-18=39-18

7x=21

7x/7=21/7

x=3

Write the equation in standard form for the circle passing through (2,6) centered at the origin.

Answers

Answer:  x^2 + y^2 = 40

==========================================================

Explanation:

The center is the origin, so (h,k) = (0,0).

The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2

(x-h)^2 + (y-k)^2 = r^2

(2-0)^2 + (6-0)^2 = r^2

2^2 + 6^2 = r^2

4 + 36 = r^2

40 = r^2

r^2 = 40

We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.

------------------

Since h = 0, k = 0, and r^2 = 40, we can say:

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 40

x^2 + y^2 = 40

Need help with this problem

Answers

m∈(-∞,-4)∪(4,+∞)

Step-by-step explanation: Photo Math App

What is the y-intercept? y = -1/3x + 4

Answers

it would be 4. in the equation y=mx+b, b is the y-intercept.

Answer:

4

Step-by-step explanation:

the y intercept is never with another variable, -1/3 would be the slope

Consider the system of equations.

8x+2y=8

y= −4x+4

The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.

Answers

then both equation r same after we re arrange it so no result

Please help ASAPPPPPO

Answers

Answer:

x=all real numbers

y=all real numbers

Step-by-step explanation:

x=-5y-1

-3(-5y-1)-15y=3

15y+3-15y=3

3=3

therefore the answer is all real numbers

I need help with this

Answers

9514 1404 393

Answer:

perimeter: 20 unitsarea: 27.5 square units

Step-by-step explanation:

We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...

  P = 5s = 5(4) = 20 . . . units

__

The area is given by the formula ...

  A = (1/2)Pa

where P is the perimeter and a is the apothem--the distance from the center to one side.

The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...

  A = (1/2)(20)(2.75) = 27.5 . . . square units

15•(13 - 7) ÷ (8 - 5) Simplify

Answers

Answer:

30

Step-by-step explanation:

15•(13-7)÷(8-5)

15•(6)÷(3)

90÷3

30

Answer:

30

Step-by-step explanation:

15 x 6 / 3 =

90 / 3 =

30

Hope that helps!

please help!! I need help with this math angle stuff

Answers

Answer:

A:

1,5

2,6

3,7

4,8

B:

1,8

2,7

C:

3,6

4,5

Answer:

A) 2 & 8    1 & 7

B) 1 & 8     2 & 7

C) 3 & 6    4 & 5

Step-by-step explanation:

Select each equation which is equivalent to 60% of 25.

0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x

Answers

Answer:

Step-by-step explanation:

The answer choices are not displaying properly. There are many ways to express the relation. For example:

X = 60% of 25

X = 0.60 × 25

X = 0.6 × 25

X = 60/100 × 25

X = 6/10 × 25

X = ⅗ × 25

Please answer for kind of a lot of points :D

Answers

a)3.5d +5 + 2.5d + 3

= 6d +8

Answer:

(5.5d + 8) miles27.5 miles

Step-by-step explanation:

Lyndsay ⇒ 3d + 5Seth       ⇒ 2.5d + 3

a) Together they run:

3d + 5 + 2.5d + 3 = (5.5d + 8) miles

b) They run 5 days Monday through Friday last week:

5.5*5 = 27.5 miles
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