Logarithm of the Base (Another special case)

For any base $b > 0$, we have $\log_b(b) = 1$. Why? Because $b^1 = b$.

This means $\log_2(2) = 1$, $\log_{10}(10) = 1$, and $\ln(e) = 1$. You raise the base to the power $1$ to get itself back.

These two special cases ($\log_b(1) = 0$ and $\log_b(b) = 1$) anchor your intuition. Between $1$ and $b$, logarithms grow from $0$ to $1$.