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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.
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