SOLUTION: How can I write the following logarithmic equation as a single logarithm simplified?
For the following equation, the base of the logs is 3.
2*log5 + log4 - (log15 + log
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Question 698508: How can I write the following logarithmic equation as a single logarithm simplified?
For the following equation, the base of the logs is 3.
2*log5 + log4 - (log15 + log20)
Answer by Positive_EV(69) (Show Source): You can put this solution on YOUR website!
Use the property that log(a*b) = log(a) + log(b) for any base of logarithm:
2*log5 + log4 - (log15 + log20) = 2*log5 + log4 - (log3 + log5 + log4 + log5)
= 2*log5 - 2*log5 + log4 - log4 - log3
= -log3
Since the base of the logarithm is 3, we evaluate -(log base 3 of 3) = -1.
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