Question

5 elevado a raiz de 64 elevada a X =  625

Answer 1

$5 ^{ \sqrt{64^x} } =625 \\ \\ 5 ^{ \sqrt{64^x} } =5^4 \\ \\ \not5 ^{ \sqrt{64^x} } =\not5^4 \\ \\ \sqrt{64^x} =4 \\ \\ 8^x=4 \\ \\ 2^3^x=2^2 \\ \\ \not2^3^x=\not2^2 \\ \\ 3x=2 \\ \\ x= \frac{2}{3}$

Answer 2

Olá, Mika.

$5^{(\sqrt{64})^x}=625\Rightarrow\\\\ 5^{8^x}=5^4\Rightarrow\\\\ 8^x=4\Rightarrow\\\\ (2^3)^x=2^2\Rightarrow\\\\ 2^{3x}=2^2\Rightarrow\\\\ 3x=2\Rightarrow\\\\ \boxed{x=\frac23}$