# How do you solve log_2x=5?

Nov 16, 2016

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.

${\log}_{b a s e}$ 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:
${\log}_{4} x = 3$ In this case, the base is 4 and the exponent is 3.
${4}^{3} = x$
x = 64