### Home > INT3 > Chapter 7 > Lesson 7.1.2 > Problem 7-26

7-26.

How do ratios of logs in different bases compare?

What is

? Use your calculator to evaluate this expression.

What is

? What do you notice about your answers for parts (a) and (b)? Use the change of base formula to explain your results.

Change

into a logarithmic expression using a base of . Start with the definition of the logarithm.

Take the log base

of both sides. Use the Power Property of Logarithms.

Notice that this answer shows a very quick way to change bases.