Question

How do you write the equation `log_7 (1/2401)=-4` into exponential form?

Answer 1

`7^-4=1/2401`

Explanation:

Write `log_7(1/2401)=-4` as an exponential.

Use the rule `log_bx=a color(white)(aa)=> color(white)(aa)x=b^a`

`log_7(1/2401)=-4color(white)(aa)=>color(white)(aa)7^-4=1/2401`

Note that the `7` is the base of the log and the base of the exponential. And, the "answer" to a log equation is the exponent of the exponential.