Question 220161: Rewrite the expression as a sum, difference or producte of simpler logarithm
log5 6p/5k
Please explain why the answer is:
log5 6 + log5 p - 1 - log5 k
Where is the 1 coming from, should it be log5 5?
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Rewrite the expression as a sum, difference or product of simpler logarithm
log5 [6p/5k]
= log5(6) + log5(p)- log5(5) - log5(k)
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= log5(6) + log5(p) - 1 - log(5)k
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log5(5) is 1 because log5(5) means "the exponent
of 5 that gives you 5. That exponent is "1".
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Similarly log5(25) is 2
and log5(1/5) is -1
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Cheers,
Stan H.
Please explain why the answer is:
log5 6 + log5 p - 1 - log5 k
Where is the 1 coming from, should it be log5 5?
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