Logarithms and Exponential Functions


A logarithm is the degree to which a number (x) must be raised to achieve a number (y). For example:
log10x = y
This means 10 must be raised to the y power to have a value of x.
10y = x

Common Logarithm
Logarithms with base of 10 are called common logarithms. For example:
log x = y notice there is no base, because it is implied to be a common log.

Natural Logarithm
Logarithms with base of value e (a scientific theoretical value) are called natural logs.
Logex = y is the same as Ln x = y notice there is no base, and it is called a Natural Log To find the corresponding number to a Logarithm is AntiLogarithm, or "AntiLog"
Log5x = 5
x = 55 x = 3125

Find the value of x:
Log7x = 8
x =
Find the value of x: nearest whole number
Ln x = 5.8
x =



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