Question

( 2 ^ 2 x ) ^ 3 = 64​

Answer 1

$\huge\fcolorbox{cyan}{red}{\color{blue}{✪ANSWER✪}}$

$\huge{\fbox{\fbox{\color{lime}{✪x = 1✪}}}}$

$\huge\fcolorbox{black}{black}{\color{cyan}{✪ExPLaNaTióN✪}}$

⠀⠀$\huge{({2}^{2x})^3 = 64}$

$\huge{=⟩{2}^{6x} = {2}^{6} }$

$\pink{\small{\textsf{Cancelling the base from both sides}}}$

$\huge\fcolorbox{black}{lime}{\color{blue}{=⟩6x = 6}}$

$\huge\fcolorbox{black}{lime}{\color{blue}{=⟩x=1}}$

$\pink{\huge{\textsf{❥HOPE IT HELPS}}}$

$\huge\fcolorbox{cyan}{black}{\color{red}{ᎠᏆᏙᏆΝᎬSWAG❥}}$

Answer 2

${\huge{\boxed{\tt{\color {black}{⛤Question}}}}}$

$\bold\pink{❥ᴀ᭄ɴsᴡᴇʀ:⤵}$

x = 1

sᴛᴇᴘ ʙʏ sᴛᴇᴘ

⠀⠀$\huge{({2}^{2x})^3 = 64}$

$\huge{=⟩{2}^{6x} = {2}^{6} }$

ᴄᴀɴᴄᴇʟʟɪɴɢ ᴛʜᴇ ʙᴀsᴇ ғʀᴏᴍ ʙᴏᴛʜ sɪᴅᴇs.

➡ 6x = 6

➡ x=1