Logarithms can also be negative: log 2 1 2 = − 1 {\displaystyle \quad \log _{2}\!{\frac {1}{2}}=-1\quad } since 2 − 1 = 1 2 1 = 1 2 . {\displaystyle \quad 2^{-1}={\frac {1}{2^{1}}}={\frac {1}{2}}.} log10150 is approximately 2.176, which lies between 2 and 3, just as 150 lies between 102 = 100 and 103 = 1000.
Логаритмите можат да бидат и негативни: log 2 1 2 = − 1 {\displaystyle \quad \log _{2}\!{\frac {1}{2}}=-1\quad } бидејќи 2 − 1 = 1 2 1 = 1 2 . {\displaystyle \quad 2^{-1}={\frac {1}{2^{1}}}={\frac {1}{2}}.} log10150 е приближно 2,176, што е меѓу 2 и 3, исто како што 150 лежи меѓу 102 = 100 и 103 = 1000.