SOLUTION: Let a=log5 and b=log2. Find log 250 in terms of a and b.

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Question 1118029: Let a=log5 and b=log2. Find log 250 in terms of a and b.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
Answer by ikleyn(52847) About Me  (Show Source):
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250 = 25*10 = 5%5E2%2A5%2A2 = 5%5E3%2A2.

Therefore,  log(250) = log%28%285%5E3%2A2%29%29 = 3*log(5) + log(2) = 3a + b.

Solved.