SOLUTION: 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

SOLUTION: 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 co

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)
---
= log5(6) + log5(p) - 1 - log(5)k
-----------------------------------------------
log5(5) is 1 because log5(5) means "the exponent
of 5 that gives you 5. That exponent is "1".
==================================================
Similarly log5(25) is 2
and log5(1/5) is -1
==================================================
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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