Question

I need help on this logarithmic equation, If you can, please answer it step-by-step. Thank you!

Answer 1

Given a logarithmic equation as

$\log _ba=x$

It is expressed in an index form as

$b^x=a$

Thus, from the equation given as

$\log _{32}q=3$

We can express its index form as

$\begin{gathered} 32^3=q \\ \text{Thus, } \\ q=32\times32\times32=32768 \end{gathered}$

Hence, the value of q equals 32768