If only one side of a logarithmic equation can be written as a single logarithm with base b, with b>0 and b=1, then the equation can be solved by using the definition of a logarithm.
logbm=n⇔bn=m
Since logarithms are defined only for positive numbers, m must be a positive number. Consider an example equation.
4log2(x−1)+6=14
To solve this equation, four steps must be followed.
1
Isolate the Logarithmic Expression on One Side
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The first step is to isolate the logarithmic expression. This can be done by using inverse operations.