Question

$\\ \\ 2 ^{x} =( 8 ^{2} ) ^{3} \: \: find \: value \: of \: x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$
​

Answer 1

Solution :-

Here in the given question

8 can be written as 2³

Substituting we have,

→ 2^x = [ ( 2³ ) ² ]³

→ 2^x = ( 2⁶)³

→ 2^x = 2¹⁸

Using a^m = a^n → m = n

→ x = 18

Hence , x = 18

Answer 2

$\huge\textsf\red{QUESTION:}$

$\\ \\ 2 ^{x} =( 8 ^{2} ) ^{3} \: \: find \: value \: of \: x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\huge\textsf\green{ANSWER:}$

$\textsf\green{x = 18}$

$\huge\textsf\blue {SOLUTION:}$

$\textsf{Step\:1:}$ Write the number in exponential form with the base 2

$\implies{((2³)²)³}$

Simplify the expression by multiplying exponents

$\implies{(2⁶)³}$

$\implies{2¹⁸}$

$\implies{2}^\textsf{x} = {2¹⁸}$

$\textsf{Lastly:}$ Since the bases are the same, set the exponent equal

$\green\therefore\textsf\green{x = 18}$

hope this help!