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logarithm and exponential equations. In this section well take a look at solving equations with exponential functions or logarithms in them. In solving these more-complicated equations you will have to use logarithms.
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For example we know that the following exponential equation is true. We can solve exponential equations with base e by applying the natural logarithm to both sides because exponential and logarithmic functions are inverses of each other. Log 2 5 2 x log 2 4 x 3.
Log 2 5 2 x log 2 4 x 3.
When we have an equation with a base on either side we can use the natural logarithm to solve it. We can use this fact along with the rules of logarithms to solve logarithmic equations where the argument is an algebraic expression. You can use any bases for logs. We will go into that more below.
