SOLUTION: Find the value of log3.6 given that log2 is equal to 0.3010,log3 is equal to 0.4771 and log5 is equal to 0.6990

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Question 1012209: Find the value of log3.6 given that log2 is equal to 0.3010,log3 is equal to 0.4771 and log5 is equal to 0.6990
Answer by ikleyn(52824) About Me  (Show Source):
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Find the value of log3.6 given that log2 is equal to 0.3010,
log3 is equal to 0.4771 and log5 is equal to 0.6990
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3.6 = %282%2A9%29%2F5 = %282%2A3%5E2%29%2F5.

Therefore, log%28%283.6%29%29 = log%28%282%29%29+%2B+2%2Alog%28%283%29%29+-+log%28%285%29%29 = 0.3010 +2*0.4771 - 0.6990 = 0.5562.