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:

$(2\cdot 4)^x=8\times 8$

$8^x=8^2$

On comparing the exponents of both sides, we get

$x=2$

Therefore, the value of x is 2.