Question

find x such that(3/5)^3×(3/5)^-6=(3/5)2x-1

Answer 1

$\frac{ {3}^{3} }{5} \times \frac{ {3}^{ - 6} }{5} = \: \frac{ {3}^{2x - 1} }{5} \\ \\ sme \: digits \: re \: cncelled \: out \\ \\ remin \\ 3 \times ( - 6) = 2x - 1$
$3 \times ( - 6) = 2x - 1 \\ 3 = \frac{2x - 1}{6} \\ 3 = \frac{x - 1}{3} \\ \\ x - 1 = 9 \\ x = 9 + 1 \\ x = 10$