SOLUTION: Suppose that you have a formula to measure the loudness of sounds on a logarithmic scale. You do not know what base to use for your logarithms, but you have determined by experime

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Suppose that you have a formula to measure the loudness of sounds on a logarithmic scale. You do not know what base to use for your logarithms, but you have determined by experime      Log On


   



Question 78304: Suppose that you have a formula to measure the loudness of sounds on a logarithmic scale. You do not know what base to use for your logarithms, but you have determined by experiment that log(b)2=3.4 and log(b)3=5.4. Use this information and the properties of logarithms to calculate log(b)24.
thank in advance

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
but you have determined by experiment that log(b)2=3.4 and log(b)3=5.4. Use this information and the properties of logarithms to calculate log(b)24.
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24=2^3*3
log(b)24 = log(b)[2^3*3]
=3log(b)2 +log(b)3
=3(3.4) + 5.4
=15.6
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Cheers,
Stan H.