For each sentence below, find the value of x that makes each sentence true. (5 ^1/5) ^5 = 25^x x = (8 ^1/3) ^2 = 4^ x x = ^a1

ANSWER

1.

2.

QUESTION 1

The first sentence is .

Recall that;

We simplify the left hand side by applying this property to get;

.

.

We now rewrite the right hand side too in an index form to obtain;

We now equate the exponents to get;

.

.

QUESTION 2

The second sentence is

We simplify the left hand side first to get;

We now rewrite the left hand side too in index form to obtain;

We equate the exponents to get;

This implies that;

or