Question

solve for x, (2^x)^6=(2^9)^2

Answer 1

2^x^6=2^9^2

2^6x=2^18

when base are same we cancel it....

now comparing exponents...

6x=18

x=18/6

x=3

Answer 2

$\huge {\bold {\red {s0lUtion}}}$

$solve \: for \: x \\ \\ \\ = >{ ( {2}^{x} )}^{6} = {( {2}^{9} )}^{2} \\ = > {2}^{6 + x} = {2}^{11} \\ \\ as \: the \: bases \: are \: equal \\ \: then \: powers \: are \: also \\ \: equal. \\ therefore.. \\ = > x 6 = 18 \\ = > x = 18 ÷ 6\\ = > x = 3$
$\huge {\bold {\red {HOPE \: YOU \: GOT \: IT}}}$