Find the value of n if $81 \times 3^n = 3^5$.

Given :

The given expression is $81 \times 3^n = 3^5$

To do :

We have to find the value of n.

Solution :

$81 \times 3^n = 3^5$

We know that,

$a^m \times a^n = a^{m+n}$

$81 \times 3^n = 3^5$

$3^4 \times 3^n = 3^5$

$3^{4+n} = 3^5$

Comparing the powers on both sides,

$4+n = 5$

$n = 5-4$

$n = 1$.

The value of n is 1.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

38 Views

Kickstart Your Career

Get certified by completing the course

Get Started