Convert Between Logarithmic and Exponential
Logarithms are the inverses of exponential functions. You will explore the relationship between an exponential and a logarithmic function. You will also explore the basic characteristics of a logarithmic function, including domain, range, and long-run behavior.
Converting from Exponential to Logarithmic Form
To convert from exponents to logarithms, we follow the same steps in reverse. We identify the base , exponent , and output . Then we write .
EXAMPLE 2
Converting from Exponential Form to Logarithmic Form
Write the following exponential equations in logarithmic form.
Solution
First, identify the values of , and . Then, write the equation in the form .
- Here, , and . Therefore, the equation is equivalent to .
TRY IT #2
Write the following exponential equations in logarithmic form.