Question

How do you solve `log5m = log5125`?

Answer 1

See explanation.

Explanation:

First we have to clarify what the equation is.

• If the digit `5` on both sides is the base then the equation should be written as:

`log_5 m=log_5 125`

The bases are equal, so you can change the `log` equation into the equation of expressions under `log` signs:

`m=125`

• However if the digit `5` is the part of number under the `log` sign we have:

`log5m=log5125`

If a base is not specified then it is equal to `10` and again as in the first case the bases are equal and `log` signs can be skipped:

`5m=5125`

After dividing both sides by `5` we get:

`m=1025`