Question

How do you find the value of q?

Answer 1

Hello,

$log_q(4)= \frac{2}{3} \\\\ ==\textgreater \ q^{log_q(4)}=q^\frac{2}{3} \\ ==\textgreater \ 4=q^\frac{2}{3} \\ ==\textgreater \ 2^2=q^\frac{2}{3} \\ ==\textgreater \ q^\frac{1}{3}=2 \\ ==\textgreater \ q=2^3 \\ ==\textgreater \ q=8$