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*32*32=32768 \end{gathered}`

Hence, the value of q equals 32768