Problema Solution
Suppose you know that for some b > 0 that logb 3 = 0.559, logb 2 = 0.353 and
logb 15 = 5.027. Use the Laws of Logarithms to calculate the following values:
a) logb 5
b)logb√15
c) logb 10
Answer provided by our tutors
logb 3 = 0.559
logb 2 = 0.353
logb 15 = 5.027
a) logb 5
logb5 = logb (15/3) = logb15 - logb 3 = 5.027 - 0.559 = 4.468
logb 5 = 4.468
b) logb√15
logb√15 = logb (15)^(1/2) = (1/2) logb 15 = (1/2)*5.027 = 2.5135
logb√15 = 2.5135
c) logb 10
logb 10 logb 2*5 = logb 2 + logb 5 = 0.353 + 4.468 = 4.821
logb 10 = 4.821