We could take some typical values and join the dots to graph the log function, as follows:

x |
`0.01` | `0.1` | `0.5` | `1` | `2` | `3` | `4` |
---|---|---|---|---|---|---|---|

f(x) |
`-2` | `-1` | `-0.30` | `0` | `0.30` | `0.48` | `0.60` |

Graph of `y=log_10 x`.

Notice that we cannot take **zero** or **negative** values for *x*. Can you figure out why not?

Our curve passes through `(1, 0)` (on the *x*-axis).

Easy to understand math videos:

MathTutorDVD.com