SOLUTION: Which is larger {{{log_4(17)}}} or {{{log_5(24)}}} ? Show conclusions! No calculator.

Algebra ->  Proofs -> SOLUTION: Which is larger {{{log_4(17)}}} or {{{log_5(24)}}} ? Show conclusions! No calculator.      Log On


   

Question 1129934: Which is larger log_4%2817%29 or log_5%2824%29 ?
Show conclusions! No calculator.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
log%284%2C%2817%29%29 = log%284%2C+%2816%2B1%29%29 is greater than 2.


log%285%2C%2824%29%29 = log%285%2C+%2825-1%29%29 is less than 2.


Therefore,  log%284%2C%2817%29%29  is greater than  log%285%2C%2824%29%29.

Solved.