SOLUTION: Use the change of base rule to set up, and evaluate. log (2012) 24 (the base is 24)

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Question 867807: Use the change of base rule to set up, and evaluate.
log (2012)
24
(the base is 24)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log%2824%2C2012%29

2012=2*1006=2*2*503, last factor is prime.
log%2824%2C2%5E2%2A503%29=log%2824%2C2%5E2%29%2Blog%2824%2C503%29
2%2Alog%2824%2C2%29%2Blog%2824%2C503%29
2log%2810%2C2%29%2Flog%2810%2C24%29%2Blog%2810%2C503%29%2Flog%2810%2C24%29
%282log%2810%2C2%29%2Blog%2810%2C503%29%29%2Flog%2810%2C24%29
%282%2A0.30103%2B2.70157%29%2F%281.380211%29
highlight%282.3936%29