Perform the indicated operations on the resulting expressions if the given changes are made in the original expressions of the indicated examples of this section.

In Example 4(a), change the 9 to 27.

Data from Example 4(a)

We may evaluate log₃ 9  using Eq. (13.11): log₃ 9 = log₃ (3²) = 2.

We can establish the exact value since the base of logarithms and the number being raised to the power are the same. Of course, this could have been evaluated directly from the definition of a logarithm.