Question

which of the following lograthmic equations is equivalent to the exponential equation below?${8}^{x} = 512$no explanation needed

Answer 1

By definition, the logarithm can be used equivalently in these expressions:

$\begin{gathered} b^a=c^{} \\ \log _bc=a \end{gathered}$

So, if we want an equivalent to:

$8^x=512$

We can write:

$\log _8512=x$