Question

The value of $x$, if $5^{x-3}\times 3^{2x-8}=225$

Answer 1

Express RHS in terms of 5 and 3.

$225$ = $3^2\times 5^2$

Compare the exponents of 3 and 5 on both sides,

We get,

$x-3=2$
and

$2x-8=2$
Hence, $x=5$