Question

20 pointssss help asap

Answer 1

Answer:

3 caause one eighth of 5 is 3

Step-by-step explanation:

Answer 2

Answer:

x = -3

Step-by-step explanation:

$4^{x}$=$(\frac{1}{8}) ^{x+5}$

To solve this, we are going to follow the steps below;

First, we should know that $\frac{1}{8}$  = $8^{-1}$

Therefore our equation can be re-written as $4^{x}$=$(8^{-1} ) ^{x+5}$

Also, 4 = 2²     and    8 = 2³

Thus, our equation can still be re-written as;

$2^{2x}$=$(2^{-3} ) ^{x+5}$

We can now proceed to open yhe parenthesis

$2^{2x}$=$2 ^{-3x-15}$

By the law of indices,the 2 at the left-hand side will cancel-out the 2 at the right-hand side, our equation becomes;

2x = -3x - 15

Add 3x to both-side of the equation

2x + 3x = -3x + 3x - 15

5x = -15

Divide both-side of the equation by 5 to get the value of x

$\frac{5x}{5}$ = $\frac{-15}{5}$

(At the left-hand side of the equation, 5 will cancel-out 5 while at the right-hand side of the equation -15 will be divided by 5)

x = -3

Therefore the value of x is -3