Express each as a sum, difference, or multiple of logarithms. See Example 2.

10 log₅ √t

Data from Example 2

(a) Using Eq. (13.7), we may express log₄ 15 as a sum of logarithms:

(b) Using Eq. (13.8), we may express log₄ (5/3) as the difference of logarithms:

(c) Using Eq. (13.9), we may express log₄ (t²) as twice log t: 4

log₄ (t²) = 2 log₄ t

(d) Using Eq. (13.8) and then Eq. (13.7), we have

logarithm of product log4 15 = log 4 (3 x 5) = log4 3 + log4 5 sum of logarithms