These are important to know both for when we are graphing these functions and algebraically solving these equations.
First we will look at exponential equations and the first rule.
Here are a few of index laws, which are used to solve exponential equations:
2013 exam 1 Question 5 b
Solve , for x
Our first step is to make the base numbers the same
Then we can equate the powers and solve for x.
The log function is simply the inverse of the the exponential function, it is used to model functions that grow exponentially and also to transform equations.
Also if we have a log of a number the same as the base then it equals 1.
There are a few logarithmic laws ,which will help us to perform our algebraic operations.
For an example lets take an example of question 6 from the 2014 exam one.
Our first step is to group the logs onto one side.
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