Identify Properties: Identify the properties of logarithms to use for expansion.We have a product inside the logarithm because x is the same as x(1/2).
Apply Product Property: Apply the product property of logarithms.log7(5x)=log7(5)+log7(x1/2).
Use Power Property: Use the power property of logarithms to simplify the second term.log7(x21)=21log7(x).
Combine Results: Combine the results from the previous steps.log7(5x)=log7(5)+21log7(x).