SOLUTION: Hi could you please show me the steps to evaluate log base 2? thanks so much

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Question 414431: Hi could you please show me the steps to evaluate log base 2? thanks so much
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hi could you please show me the steps to evaluate log base 2? thanks so much
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log2(3) = log(3)/log(2) = 0.4771/0.3010 = 1.5849
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In general, log(base a)of b = log(base C)of b/log(base C) of a
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That is callec the "change of base Rule".
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Cheers,
stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C2%5E0%29+=+0
log%282%2C2%5E1%29+=+1
log%282%2C2%5E2%29+=+2
log%282%2C2%5E3%29+=+3
etc.
these are saying, for instance: 2%5Ex+=+2%5E3, so the log is 3
The inverse relations are:
2%5E0+=+1
2%5E1+=+2
2%5E2+=+4
2%5E3+=+8
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I have also seen expressions like this:
2%5E%28log%282%2C4%29%29+=+2%5E2
2%5E%28log%282%2C8%29%29+=+2%5E3
These are saying: log%282%2C8%29+=+3, which is exactly
the same as log%282%2C2%5E3%29+=+3
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Hope this helps