LOGARITHMS

What is Logarithm?

A log is in exponent. So when you take the log of something, you are getting back an exponent. The two equations below are two different ways to say the same thing, but the first is an exponential equation, and the second is a logarithmic equation

b is called the base of the log, and must be greater than 0 (so we don’t have to deal with complex numbers). Also, the base can’t be 1, or the equations wouldn’t be exponential or logarithmic

The y in the log equation is called the argument and it must be greater than 0, again, to avoid complex numbers

Laws of Logarithms

Examples of Logarithm

How To Solve Without a Calculator

Solving Log Equations

References:

http://www.shelovesmath.com/algebra/advanced-algebra/logarithmic-functions/
http://www.a-levelmathstutor.com/logarithms.php

https://www.youtube.com/watch?v=Z5myJ8dg_rM