Logarithms
A logarithm is the inverse function to an exponential function. For example, for the exponential function
In calculus, we will mostly use the exponential function
Examples:
There are two ways to do this one. First, we can bring down the exponent of two down in front
Alternatively, we can rewrite the subtraction as a division, like so:
Either way we get the same answer!
First, we rewrite the multiplication using addition. Then we can simply from there.
We know
We can rewrite all the products and divisions as addition and subtraction: