Question

Write the exponential equation y^6 = 30 in logarithmic form.Show your work here

Answer 1

We have the expression:

`y^6=30`

If we apply the logarithm with base 30 to both sides, we obtain:

`\begin{gathered} \log_(30)(y^6)=\log_(30)(30) \\ 6\log_(30)y=1 \\ \log_(30)y=(1)/(6) \end{gathered}`

Answer: an equivalent logarithmic expression is log_30(y) = 1/6