Converting between log form and exponential form

Recall from class that a logarithm is equal to an exponent. It is another way of viewing an exponential function. In general Is the same as: Example – The following two equations are equivalent 2 3 =8 and We can think of this last problem as the following: 3 is the power that we need to raise 2 to get 8

Examples – Convert into logarithmic form

Examples – Convert into Exponential form

Evaluate the following Remember: a logarithm is an exponent. So in this case, we are looking for the power that we need to raise base 2 To get 2 The answer is 1 Because we need to raise 2 to the first power to get 1: