ANSWER
[tex]a. \: \frac{5}{3} [/tex]
EXPLANATION
The given logarithm is
[tex] log_{8}(32) [/tex]
Rewrite both the base and the number as a power to base 2.
[tex]log_{8}(32) = log_{ {2}^{3} }( {2}^{5} ) [/tex]
Use the following property:
[tex] log_{ {a}^{q} }( {a}^{p} ) = \frac{p}{q} [/tex]
This implies that,
[tex]log_{8}(32) = log_{ {2}^{3} }( {2}^{5} ) = \frac{5}{3} [/tex]
