Question

How do you solve `log_3x=5`?

Answer 1

`243`

Explanation:

Let's think about the meaning of the expression.

`log_3(x)=y` means that, if I want to obtain `x`, I must raise the base `3` to the `y`-th power.

In other words, `y` must be the exponent that we must give to `3` to obtain `x`, or again, `3^y=x`.

In our case, `y=5`, so `log_3(x)=5` means that `x` is the number you obtain by raising `3` to the fifth power, and so `x=3^5`. If you prefer, `x=243`.