SOLUTION: How do you solve the following problem without a calculator? Find the exact value of of the expression: logbase5(27)*logbase3(10)*logbase10(5)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do you solve the following problem without a calculator? Find the exact value of of the expression: logbase5(27)*logbase3(10)*logbase10(5)      Log On


   

Question 935915: How do you solve the following problem without a calculator?
Find the exact value of of the expression:
logbase5(27)*logbase3(10)*logbase10(5)
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact value of of the expression:
logbase5(27)*logbase3(10)*logbase10(5)
---------
log%285%2C27%29%2Alog%283%2C10%29%2Alog%285%29
= %28log%2827%29%2Flog%285%29%29%2A%28log%2810%29%2Flog%283%29%29%2Alog%285%29
= log%2827%29%2A1%2Flog%283%29
= 3log%283%29%2Flog%283%29%29
= 3

Answer by Fombitz(32388) About Me  (Show Source):