Given a logarithmic equation as
[tex]\log _ba=x[/tex]
It is expressed in an index form as
[tex]b^x=a[/tex]
Thus, from the equation given as
[tex]\log _{32}q=3[/tex]
We can express its index form as
[tex]\begin{gathered} 32^3=q \\ \text{Thus, } \\ q=32\times32\times32=32768 \end{gathered}[/tex]
Hence, the value of q equals 32768
