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

7-26.

How do ratios of logs in different bases compare? Homework Help ✎

What is

? 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 log

_{2}(7) into a logarithmic expression using a base of 5.

Use your calculator to evaluate this expression.

Start with the definition of the logarithm.

log_{2}7 = *x*

2* ^{x}* = 7

Take the log base 5 of both sides.

log_{5}(2* ^{x}*) = log

_{5}7

Use the Power Property of Logarithms.*x*(log_{5}2) = log_{5}7

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