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The properties of logs are often used to rewrite unknown logs in terms of other logs that we do know. These often show up on multiple choice tests and you're asked to do them without a calculator. To start, rewrite the input of the log in terms of the inputs that you're provided information about. Consider products and quotients of those inputs in particular, and don't forget that you can always integrate a factor of 10!
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Sample Problems (5)
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Evaluating a Logarithmic Expression in terms of Known Quantities
Problem 1 4,196 viewsGiven log_{5}2 = j and log_{5}3 = k.
Express log_{5}6 in terms of j and k. 
Evaluating a Logarithmic Expression in terms of Known Quantities
Problem 2 3,668 viewsGiven log_{5}2 = j and log_{5}3 = k.
Express log_{5}(4⁄9) in terms of j and k. 
Evaluating a Logarithmic Expression in terms of Known Quantities
Problem 3 3,510 viewsGiven log_{5}2 = j and log_{5}3 = k.
Express log_{5}(15⁄2) in terms of j and k. 
Evaluating a Logarithmic Expression in terms of Known Quantities
Problem 4 538 views 
Evaluating a Logarithmic Expression in terms of Known Quantities
Problem 5 451 views
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