Write the expression in terms of log x and log y. log((x^3)/(10y))

fofopausiomiava 2022-09-04 Answered
Write the expression in terms of log x and log y
log ( x 3 10 y )
To be honest, I'm really unsure as to how the final answer should look like. In other words, what is the question asking for, and how do I go about getting there?
Any ideas would be appreciated.
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Answers (2)

Houston Ellis
Answered 2022-09-05 Author has 4 answers
Hint:
log ( x 3 10 y ) = log ( x 3 ) log ( 10 y )
You can use additional properties of logarithms until you get log x and log y to appear in your answer. You will need one application each of the properties
log ( a n ) = n log ( a ) log ( a b ) = log ( a ) + log ( b )
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Gunsaz
Answered 2022-09-06 Author has 3 answers
log ( x 3 10 y ) = 3 log x log 10 log y
If log = log 10 , then log 10 = 1
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