Question

How do you solve `log_2x=5`?

Answer 1

Recognize that the notation means “the log base number raised to the power is… that will help you to set up the solution to a problem in any base.

Explanation:

Recognize that the notation means “the log base number raised to the power is… that will help you to set up the solution to a problem in any base.

`log_(base)` x = exponent on the base number.

In this case, it is “The number that results from raising 2 (the base) to the 5th power.
`2^5 = x`
x = 32

ANOTHER example would be:
`log_4x = 3` In this case, the base is 4 and the exponent is 3.
`4^3 = x`
x = 64