Question

Find the value of x (- 3/4)^x = - 243/1024​

Answer 1

Answer:

$\large \bold{( \frac{ - 3}{4} ) ^{x} = \frac{ - 243}{1024} }$

$\implies \: { {( \frac{ - 3}{4} )}^{x} = {( \frac{ { - 3}^{5} }{ {4}^{5} }) }}$

$\implies \: { {( \frac{ - 3}{4} )}^{x} = {( \frac{ { - 3} }{ {4}^{} }) ^{5} }}$

$\implies \boxed{\bold{ x \: = 5}}$