SOLUTION: Hi, I'm having trouble understanding what to do to solve this problem. Write as a single logarithm: 2 ln 5 + ln 4 - 3

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Question 1018382: Hi, I'm having trouble understanding what to do to solve this problem.
Write as a single logarithm:
2 ln 5 + ln 4 - 3

Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

Write as a single logarithm:
2 ln 5 + ln 4 - 3
--------------
= ln(25) + ln(4) - ln(e^3)
= ln(100/e^3)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
2ln5 + ln4 - 3
:
: *** note that 2ln5 = ln5^2 and 3 = ln(e^3)
:
2ln5 + ln4 -3 = ln25 + ln4 - ln(e^3)
:
: *** use definition of multiplying logarithms and then definition
: *** of logarithm division
:
ln25 + ln4 - ln(e^3) = ln100 - ln(e^3) = ln(100/e^3)
:
: ln is the natural logarithm(base e)
: