Question

find the value of x is 5 by 3 power - 5 into 5 by 3 power 11 is equals to 5 by 3 power 8 x

Answer 1

${ (\frac{5}{3} )}^{ - 5} \times {( \frac{5}{3} )}^{11} = {( \frac{5}{3} )}^{8x} \\ - 5 + 11 = 8x \\ 8x = 6 \\ x = \frac{6}{8} = \frac{3}{4}$