SOLUTION: Given log 2 = 0.3010 and log 3 = 0.4771 What is log 8/27 Thank you :)

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Question 951703: Given log 2 = 0.3010 and log 3 = 0.4771
What is log 8/27
Thank you :)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28+2%29+=+0.3010 and log%28+3%29+=+0.4771
What is log+%288%2F27%29:

log+%288%2F27%29
=log+%288%29-log%2827%29
=log+%282%5E3%29-log%283%5E3%29
=3log+%282%29-3log%283%29......since log%28+2%29+=+0.3010 and log%28+3%29+=+0.4771, we have
=3%2A0.3010-3%2A0.4771
=0.903-1.4313
=-0.5283