Question

(8/9)^5*(9/4)^5=(2)^x find value of x

Answer 1

Heres your answer

$( \frac{8}{9} ) ^{5} \times( \frac{9}{4} ) ^{5} = {2}^{x} \\ \\ (\frac{4}{3} ) ^{2 \times 5} \times (\frac{3}{2} ) ^{2 \times 5} = {2}^{x} \\ \\ on \: evaluating \\ \\ ( \frac{2}{1} ) ^{10 + 10} = {2}^{x} \\ \\ {2}^{20} = {2}^{x } \\ x = - 20$
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