Question

Can anyone answer this question with showing work:

Change from exponential form to logarithmic form:

log 100=2

Answer 1

For converting to/from exponential/log forms:

\[log_b(a) = k \iff b^k = a\]

You can go back and forth.

Also remember that \(log \equiv log_{10}\) and \(ln \equiv log_e\)

Answer 2

So in this case you have:
\[log_{10} 100 = 2 \iff ?\]