SOLUTION: Please help me solve this question: which is greater? Log3 of base 2 or log5 of base 1/2.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve this question: which is greater? Log3 of base 2 or log5 of base 1/2.      Log On


   



Question 984421: Please help me solve this question: which is greater?
Log3 of base 2 or log5 of base 1/2.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Use the definition of the log function:





Clearly is some small but positive number. But if you raise a number between zero and 1 to a positive power, you get a smaller number. Hence, must be a negative number, and is therefore the smaller value.

John

My calculator said it, I believe it, that settles it