Question

If 81 power 10 = 3 power x-7 , what is the value of x ?

Answer 1

$81^{10} = {3}^{(x - 7)}$
${3}^{4 \times 10} = {3}^{(x - 7)}$
$40 = x - 7$
$x = 40 + 7 = 47$