Question: Express each as a sum, difference, or multiple of logarithms. See Example 2. log 3 (2/11) Data from Example 2 (a) Using Eq. (13.7), we

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

log3 (2/11)


Data from Example 2

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

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


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

log4 3 + log4 5 sum 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

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