How do ratios of logs in different bases compare? Homework Help ✎
What do you notice about your answers for parts (a) and (b)? Use the change of base formula to explain your results.
Change log2(7) into a logarithmic expression using a base of 5.
Use your calculator to evaluate this expression.
Start with the definition of the logarithm.
log27 = x
2x = 7
Take the log base 5 of both sides.
log5(2x) = log57
Use the Power Property of Logarithms.
x(log52) = log57
Notice that this answer shows a very quick way to change bases.