SOLUTION: if log8=0.903089 and log7=0.845098 find log14

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Question 1014694: if log8=0.903089 and log7=0.845098 find log14
Answer by ikleyn(52914) About Me  (Show Source):
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if log8=0.903089 and log7=0.845098 find log14
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Notice that 14 = 7*2 and 2 = root%283%2C8%29.

Therefore,

log%28%2814%29%29 = log%28%287%2Aroot%283%2C8%29%29%29 = log%28%287%29%29 + 1%2F3.log%28%288%29%29.

Next, substitute the given values of log%28%287%29%29 and log%28%288%29%29, and calculate the result.