SOLUTION: log 3 to the 27th power times log 27 to the 3rd power solve

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: log 3 to the 27th power times log 27 to the 3rd power solve      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 79364This question is from textbook
: log 3 to the 27th power times log 27 to the 3rd power
solveThis question is from textbook

Answer by Mona27(45) About Me  (Show Source):
You can put this solution on YOUR website!
You can change both logs into a common logarithm like so:
Log (base 27) of (3)= log%283%29%2Flog%2827%29
AND
Log (base 3) of (27)= log%2827%29%2Flog%283%29
When you multiply these together they will cancel out:
%28log%283%29%2Flog%2827%29%29%2A%28log%2827%29%2Flog%283%29%29=1