Question

How do you solve `Log_ (x) 3 = 1/4`?

Answer 1

The number in subscript beside the log is the base, the number alone on one side of the = sign is the exponent, and the number in normal font to the right of the log, on the same side of the = sign is what the expression equals.

Explanation:

Rewrite in exponential form.

`x^(1/4) = 3`

`root(4)(x) = 3`

Take the 4th root of both sides.

`(root(4)(x))^4 = 3^4`

`x = 81`

Hopefully this helps!