Question

Find the value of x for which

(5/3)^-4 x (5/3)^-5 = (5/3)^3x

Answer 1

\((\frac{5}{3})^{-4}\times(\frac{5}{3})^{-5}=(\frac{5}{3})^{3x}\)

Consider the left side;

Given:

\((\frac{5}{3})^{-9}=(\frac{5}{3})^{3x}\)

Comparing the powers;

-9 = 3x

\(x=\frac{-9}{3}\)

x = -3