Use the definition of a logarithm to change log27 into a logarithmic expression of base 5. Homework Help ✎
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.
x(log52) = log57
Notice that this answer shows a very quick way to change bases.