Question

Find the value of m, if $5^{m-3}\times 3^{2m-8}$ = 225.

Answer 1

Given $5^{m-3}\times 3^{2m-8}=225$

$=5\times 45$

$=5\times 5\times 9$

$5\times 5\times 3\times 3$

$5^{m-3}\times 3^{2n-8}=5^2\times 3^2$

On comparing both sides

$m-3=2$ & $2m-8=2$

$m=5$ $2m=10$

$m=5$