The logarithmic form of an equation 
is
 |
where the base satisfies 
and 
, 
, and 
is real. The logarithm
gives the exponent to which 
must be raised to obtain 
, so the two forms are equivalent (Abramson 2021).
For example, 
has logarithmic form 
.
Rewriting an equation from exponential form to
logarithmic form isolates the exponent, as in 
, which gives 
.
