Math
Exponential and Logarithmic Functions
Definition of the logarithmic function:
provided .
b is called the base of the logarithm. Two common values for b are 10 (common logs) and e (natural logs).
The properties of logarithms (assume )
These properties are vital in handling expression and equations involving logarithms or exponential numbers.
For instance if the variable in the equation occurs in the exponent () we need a property of equations not yet mentioned. In this case we will take the logarithm of both sides.
Solve: |
Take log of both sides. Use a convenient base. |
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Using property 3 we get the following. |
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