Question

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

3^2x = 27

Answer 1

The value of x is 3/2.

Explanation:

Given data in the question:-

`3^2^x=27`

We have to find the value x.

Let
`3^2^x=27` be eq(i).

Solving eq (i)

`3^2^x=3^3`

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

`2x=3\\x=3/2`

Hence the answer is 3/2.