QuestionÉtant donné $a=\log _{b}(16)$,
Exprime $\log _{b}(8 b)$ en fonction de a

Studdy Solution
Substitute $\log_b(8)$ back into the expression for $\log_b(8b)$:
$$\log_b(8b) = \frac{3a}{4} + 1$$
This is the expression for $\log_b(8b)$ in terms of $a$.
The expression for $\log_b(8b)$ in terms of $a$ is:
$$\boxed{\frac{3a}{4} + 1}$$