Example of logarithm to be solved with simple logarithm properties

1

But $\log_2 5^3$ results in the exponent that applied to the base 2 will obtain $5^3$. So, 2 elevated to such exponent will obtain $5^3$.

4

The exponent that produces the result 4 applied to the base $\frac{1}{2}$ is -2. So: