Evaluate the following. Show all of the steps required log4 1/8
To evaluate log4 (1/8), we first need to rewrite 1/8 as a power of 4.
1/8 = 4^-3
So now we have log4 (4^-3).
According to the rule of logarithms, log_b (b^x) = x, so we can rewrite log4 (4^-3) as -3.
Therefore, log4 (1/8) = -3.