Question

How do you calculate `log_6 83` with a calculator?

Answer 1

See explanation.

Explanation:

Usually calculators have decimal logarythm `log` and natural logarythm `ln`. To calculate logarythm of a different base you can use the Base Change formula:

`log_cx=log_bx/log_bc`

In the given example to calculate `log_6 83` you can use the formula:

`log_6 83=log83/log6`

To calculate the value you do the following:

1. Press `6` and `log` to calculate `log6`.
2. Put the result in memory.
3. Press `83`, `log`,`-:`
4. Recall result calculated in 1. from memory
5. Press `=` to calculate the result.

Note: I used the decimal logarythm. You can also use natural logarythm in the procedure.