How do you solve #log_2x=5#?

1 Answer
SCooke
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_(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

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