SOLUTION: If logb2=A, logb3=B, and logb5=C, find the value of each expression. 1. logb10 2. logb75 3. logb100

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If logb2=A, logb3=B, and logb5=C, find the value of each expression. 1. logb10 2. logb75 3. logb100      Log On


   

Question 964575: If logb2=A, logb3=B, and logb5=C, find the value of each expression.
1. logb10
2. logb75
3. logb100
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
logb 10 = logb (5*2) = logb 5 + logb2 = A + C
logb 75 = logb (3*5^2) = logb3 + 2 logb5 = B + 2C
logb100 = logb(10^2) = 2logb10 = 2(A + C)