Question

unit test\
\\(\log_{4}8 = \square\\)

Explanation:

Step1: Rewrite terms as powers of 2

$4=2^2$, $8=2^3$, so $\log_{4}8 = \log_{2^2}2^3$

Step2: Apply logarithm power rule

Use $\log_{a^m}b^n=\frac{n}{m}\log_a a$, so $\log_{2^2}2^3=\frac{3}{2}\log_2 2$

Step3: Evaluate $\log_2 2$

$\log_2 2=1$, so $\frac{3}{2} \times 1 = \frac{3}{2}$

Answer:

$\frac{3}{2}$