Question

Write the logarithmic equation in exponential form log4 (1/4)^3 =-3

Answer 1

The equation in exponentail form -->. 4^-3 = (1/4)^3 1/4^3 = 1/64 1/64 = 1/64

Answer 2

Remember
log(x^y)=ylog(x)
$log_xy=m$ means $x^m=y$
also
x^-m=1/(x^m)
so

$log_4(1/4)^3=-3$ means $4^{-3}=(1/4)^3$ or1/(4^3)=(1/4)^3=1/64=1/64