Question

How do you write the equation `log_3 81=4` in exponential form?

Answer 1

One logarithmic rule states that `log_a b=x` is the same as `a^x=b`. In our case, `a=3`, `b=81`, and `x=4`. Therefore, our equation in exponential form would read `3^4=81` , which is a true statement.

Answer 2

the definition of of a logarithm

`a^c=b=>log_ab=c`

so

`log_3 81=4`

`=>3^4=81`