An exponential function is any function of the form: where the base=b is positive, b is not equal to 1 and x is any real number. A logarithmic function is any function of the form: where the base=b is positive, b is not equal to 1 and x>0 . (It is read as "log, base b, of x") The logarithm is a new function obtained by trying to solve for x. So means the same as . The log is equal to the exponent for the base. You can go back and forth between: Exponential form logarithmic form And Example 1 Write the following in logarithmic form: a.is the same as b.is the same as Example 2 Write the following in exponential form: a. is same as . b. is same as If you have missing values in a simple logarithmic expression can be evaluated by rewriting the expression in exponential form using the fact that (When expressions have the same base then the exponents must be equal.) Example 3 Find N in each of the following: Rewrite 9=N
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