Question

For what value of x does 4^x=(1/8)^x+5 A) -15 B)-3 C)3 D) 15

Answer 1

the value of x is -3. Option B

How to determine the value

WE have the expression to be;

4^x=(1/8)^x+5

With the knowledge of indices, we have that;

2 = 2 ^1

4 = 2^2

8 = 2^3

16 = 2^4

32 = 2^5

So from this given information,

we can express the expression as;

4^x = 2^2x

1/8^x = 2^-3x

Substitute into the formula

2^2x = 2^-3x - 15

Cancel out the like terms

2x = -3x - 15

collect like terms

2x + 3x = - 15

x = -15/ 5

x = -3

Thus, the value of x is -3. Option B

Learn more about index notation here:

brainly.com/question/10339517

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