Compute \(\log_{1/125} (25 \sqrt[3]{25})\)
In exponential form we have that
(1/125)^x = 25∛25
[5^(-3)]^x = 25 ^(4/3)
5^(-3x) = (5^2)^(4/3)
5^(-3x) = 5^(8/3) solve for the exponents
-3x = (8/3) divide both sides by -3
x= -8/9
