SOLUTION: Use law of logarithms to evaluate: log5 ((120·125)/24)= ? *log ((120·125)/24) to the base of 5.

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Question 374256: Use law of logarithms to evaluate:
log5 ((120·125)/24)= ?
*log ((120·125)/24) to the base of 5.

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

First, let's reduce the fraction:



Since this becomes:


If you understand logarithms we already know that this works out to be 4. If not, then we can use a property of logarithms, , to move the exponent out in front:

By definition, . So this becomes:
4*1
or
4

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