Question

If 2^2n-1=8^3-n, then the value of n is?​

Answer 1

$\Huge\bold{\underline{\underline{\green{Solution-}}}}$

ʀᴇғᴇʀ ᴛᴏ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ❤

Answer 2

${2}^{2n - 1} = {8}^{3 - n} \\ \\ = > {2}^{2n - 1} = { ({2}^{3}) }^{3 - n} \\ \\ = > {2}^{2n - 1} = {2}^{9 - 3n}$

On comparing :

2n - 1 = 9 - 3n

=> 2n + 3n = 9 + 1

=> 5n = 10

=> n = 2

I hope it will be helpful for you ☺️

Fóllòw MË ❤️