Question

5raise to power x ×5raise to power -8 =5raise to power -3​ find x

Answer 1

$Given \:5^{x} \times 5^{-8} = 5^{-3}$

$\implies 5^{x-8} = 5^{-3}$

$\boxed { \pink { a^{m} \times a^{n} = a^{m+n}}}$

$\implies x - 8 = -3$

$\boxed { \pink { If \: a^{m} = a^{n} \:then \: m = n}}$

$\implies x = 8 - 3 = 5$

Therefore.,

$\red { Value \: of \: x } \green {= 5}$

•••♪