Question

dada a equação exponencial 125^2/3 = 25^5/x

Answer 1

Resolução:

$\mathsf{125^{ \frac{2}{3} }=25^{ \frac{5}{x} }} \\ \\ \mathsf{(5^3)^ \frac{2}{3}=(5^2) ^ \frac{5}{x} } \\ \\ \mathsf{5^{ \frac{6}{3} }=5^{ \frac{10}{x} }} \\ \\ \mathsf{ \frac{6}{3}= \frac{10}{x} } \\ \\ \mathsf{6x=30} \\ \\ \boxed{\mathbf{x=5}}$

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