Logarithms and powers

A logarithm $\log_a b$ is the exponent to which the base $a$ must be raised to obtain $b$:

$\log_a b=c \iff a^c=b \qquad (a>0,\ a\neq1,\ b>0)$

The calculator computes a logarithm to any base — common ($\log$), natural ($\ln$, base $e$), binary ($\log_2$) or your own. It uses the change-of-base formula $\log_a b=\dfrac{\ln b}{\ln a}$.

In the second mode you can compute a power $a^x$ (including negative and fractional exponents) and a root of any degree $\sqrt[n]{x}=x^{1/n}$.