Question

if (2³)² = 4powerx , then 3 power x is?


please answer it with methods :​

Answer 1

Answer:

$we \: know \: that \: (2 {}^{3} ) {}^{2} = 2 {}^{6}$

$also$

$4 {}^{x} = {2}^{2x} \: as \: 4 = {2}^{2}$

$now \: {2}^{2x} = {2}^{6}$

$= > 2x = 6 \: and \: thus \: x = 3$

$as \: we \: have \: the \: value \: of \: x \: \\ we \: can \: now \: find \: {3}^{x}$

${3}^{3} = 3 \times 3 \times 3 = 9 \times 3 = 27$

27 is the final answer

Answer 2

Answer:

$( { {2}^{2} })^{3} = {2}^{6} = 64 = {4}^{3}$

that implies x = 3

that implies

${3}^{x} = {3}^{3} = 27$

here is your answer