SOLUTION: given that log2=0.3010 and log3 =0.4771, find log1.125 all in base 10

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Question 986937: given that log2=0.3010 and log3 =0.4771, find log1.125 all in base 10
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20077) About Me  (Show Source):
Answer by ikleyn(53748) About Me  (Show Source):
You can put this solution on YOUR website!
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Notice that  1.125 = 9%2F8.

Hence,  log%2810%2C+%281.125%29%29 = log%2810%2C+%289%2F8%29%29 = log%2810%2C+9%29 - log%2810%2C8%29 = 2log%2810%2C3%29 - 3log%2810%2C2%29 = 2*0.4771 - 3*0.3010 = 0.0512.