Question

4√3^n = 81, find the value of n with explanation​

Answer 1

ᴀnswer-:

Given,√3^n = 81

Since , √(3^n) = √3^n/² and 81 = 3⁴

So , 3^n/² = 3⁴,

n⇒n/2 = 4 ( As bases are equal their power has to be ) equal .

⇒n =8

HOPE IT HELPS UHH !!!!!!!

Answer 2

Step-by-step explanation:

$\huge\mathscr\red{hello mate }$

$\large\red{{ \fcolorbox{blue} {black}{ \underline{ \red{Rєquírєd αnѕwєr}}}}}$

$\huge \mathbb \blue{Given, √3n = 81}$

$\huge \mathtt \blue{Since, √(3n) = 3n/2 \: and \: 81 = 3⁴}$

$\huge\mathtt \blue{so, 3n/2 = 3⁴}$

$\huge \mathtt \blue{⇒n/2 = 4 ( As \: bases \: are \: equal, \: their \: powers \: has \: to \: be \: equal )}$

$\huge \mathtt \red{⇒n = 8}$