The logarithm of a number $x$ with base $y$ (denoted as $\log _y x$) is the power to which the base $y$ must be raised to produce the number $x$. With this convenient calculator, you can perform operations to calculate binary ($\log _2 x$), natural ($\log _e x$ or $\ln x$), and common logarithms ($\log _{10} x$ or $\lg x$), as well as a logarithm with any given base. How to Use the Logarithm Calculator Calculating binary logarithm: $$\log _2 16 = 4$$ Calculating natural logarithm:

$$\log _e 1 = 0$$ Calculating common logarithm: $$\log _{10} 1000 = 3$$ Calculating logarithm with a specified base: $$\log _3 81 = 4$$