Question 1 In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.

Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your answer to the nearest hundredth, if necessary.