In \(a^b=c\iff\log_a c=b\), require \(a&gt;0\), \(a\ne1\), and \(c&gt;0\).
\( \mathrm{a}^b = c \rightarrow \log_{a}{c} = b \)
Special bases
\( 10^a = b \rightarrow \lg{b} = a\) \( \mathrm{e}^a = b \rightarrow \ln{b} = a\)

In \(a^b=c\iff\log_a c=b\), require \(a>0\), \(a\ne1\), and \(c>0\).

\( \mathrm{a}^b = c \rightarrow \log_{a}{c} = b \)

\( 10^a = b \rightarrow \lg{b} = a\)
\( \mathrm{e}^a = b \rightarrow \ln{b} = a\)

Conversion between Exponent form and Logarithm form

Conversion between Exponent form and Logarithm form