SOLUTION: How would you solve log of 54 base 3 and log of 48 base 4 without a calculator? I know if you have log of 9 base 3, to can turn 9 into 3^2 and the answer is 2.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How would you solve log of 54 base 3 and log of 48 base 4 without a calculator? I know if you have log of 9 base 3, to can turn 9 into 3^2 and the answer is 2.       Log On


   



Question 701489: How would you solve log of 54 base 3 and log of 48 base 4 without a calculator? I know if you have log of 9 base 3, to can turn 9 into 3^2 and the answer is 2.
Found 2 solutions by stanbon, herosz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would you solve log of 54 base 3 and log of 48 base 4 without a calculator?
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log3(54) = log3[27*2] = log3(27)+log3(2) = 3+log3(2)
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log4(48) = log4(16*3) = log4(16)+log4(3) = 2+log4(3)
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Cheers,
Stan H.
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Answer by herosz(4) About Me  (Show Source):
You can put this solution on YOUR website!
Stanbon's solution is fine, but it's not finished:
.