Question

If $3^{x-1}=9\times 3^4$, then find $x$.

Answer 1

Given equation is $3^{x-1}=9\times 3^4$
$=>3^{x-1}=3^2\times 3^4$
By using law $a^m\times a^n=a^{m+n}$, we get
$=>3^{x-1}=3^6$
As base is same, equate the powers,
$=>x-1=6$
$=>x=7$