Question

8 Find the value of x a (22²)x is exponent of (22²) = 64​

Answer 1

Given:

Consider the given equation is:

`(2\cdot 2^2)^x=64`

To find:

The value of x.

Solution:

We have,

`(2\cdot 2^2)^x=64`

It can be written as:

`(2\cdot 4)^x=8* 8`

`8^x=8^2`

On comparing the exponents of both sides, we get

`x=2`

Therefore, the value of x is 2.