Question

Solve (1/16)=64^(6x-6)
Please show work! Thank you. (:

Answer 1

log_64(1/16) = 6x - 6

-2/3 = 6x - 6
6x = 6 - 2/3
6x = 16/3

x = 8/9

Answer 2

\[2^{-4}=(2^{6})^{6x-6}\]
\[2^{-4}=2^{36x-36}\]

\[32=36x\]
\[x=\frac{32}{36}=\frac{8}{9}\]

Answer 3

thank you both :)

Answer 4

yw