Talking about plotting, in ĺog-linear plots[0], exponentials appear as straight lines. In log-log plots[1], functions of form f(x) = ax^k (monomials) appear as

Talking about plotting, in ĺog-linear plots[0], exponentials appear as straight lines. In log-log plots[1], functions of form f(x) = ax^k (monomials) appear as straight lines. For me, I think what clicked is that the log of a number in base 10 measures the length of this number in decimal (as in, the number of digits, possibly off by one) And more generally, log is an exponent that raises the base to a number. For example, ln(5) is the exponent that raises e to 5. [0] https://en.wikipedia.org/wiki/Semi-log_plot https://en.wikipedia.org/wiki/Semi-log_plot [1] https://en.wikipedia.org/wiki/Log%E2%80%93log_plot https://en.wikipedia.org/wiki/Log%E2%80%93log_plot