SOLUTION: Hi! I have a question about logarithms. How do you express log 2 using log 5? For example, the other question was express log 1/25 in log 5, so I said: log 1/25 = log (5)^-2 = -2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi! I have a question about logarithms. How do you express log 2 using log 5? For example, the other question was express log 1/25 in log 5, so I said: log 1/25 = log (5)^-2 = -2      Log On


   



Question 354863: Hi! I have a question about logarithms. How do you express log 2 using log 5?
For example, the other question was express log 1/25 in log 5, so I said:
log 1/25 = log (5)^-2 = -2log5
I don't know how to apply this to log 2, though. Thanks for your help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hi! I have a question about logarithms.
How do you express log 2 using log 5?
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You always have log10 = 1 available.
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log(5) = log(2) = log(10/5) = log(10)-log(5) = 1-log(5)
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Cheers,
Stan H.