Logarithms provide a means for expressing exponential functions in a linear fashion. A common example of this is the pH scale. Logarithms were first derived in an attempt to simplify complex calculations that, before the invention of calculators, took a long time to resolve. This simplification returns an expression or equation to its original state. The logarithm is the inverse process of exponentiation, therefore simplifying a logarithm involves the base "e," more commonly known as Euler's number.
Instructions
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1
Write down the logarithmic expression with its accompanying term inside the logarithmic function. For example, ln (2x).
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2
Raise the entire expression to the base "e." For example, e^ln (2x).
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3
Remove both the base "e" and logarithm notation from the expression. In our example, e^ln (2x) = 2x, this simplification takes advantage of the fact that Euler's number and logarithms are inverse operations that cancel each other.