Question

Meee ayudan
Log 8 (64/4096)^10

Answer 1

$Log_8( \frac{64}{4096})^{10} =x \\ \\ 8^x= ( \frac{64}{4096})^{10} \\ \\ 8^x= ( \frac{1}{64})^{10} \\ \\ 8^x= ((64)^{-1})^{10} \\ \\ (2^3)^x= ((2^6)^{-1})^{10} \\ \\ (2)^{3x}= (2)^{-60} \\ \\ 3x=-60\to x= \frac{-60}{3}\to \boxed{x=-20}$

Espero que te sirva, salu2!!!!