SOLUTION: Write as a single logarithm and check with a calculator a) ln 5 + ln 3 b) ln 2+ ln 10 c) 2 ln 6 d) ln 18 - ln 2 e) ln 21 - ln 3 f) 1/2 ln 25 Can you please help me out? Than

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Question 746980: Write as a single logarithm and check with a calculator
a) ln 5 + ln 3
b) ln 2+ ln 10
c) 2 ln 6
d) ln 18 - ln 2
e) ln 21 - ln 3
f) 1/2 ln 25
Can you please help me out? Thanks so much in advance
Can you also show me the steps it would really help me understand:)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do the first 3 to get you started. Please post one problem at a time (next time). Thanks.

a)

ln(5) + ln(3) = ln(5*3)

ln(5) + ln(3) = ln(15)

-----------------------------
b)

ln(2) + ln(10) = ln(2*10)

ln(2) + ln(10) = ln(20)

-----------------------------
c)

2*ln(6) = ln(6^2)

2*ln(6) = ln(36)

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Write as a single logarithm and check with a calculator
a) ln 5 + ln 3
Rule: log(A)+log(B) = log(AB)
Ans: ln(5*3) = ln(15)
-----------------------
b) ln 2+ ln 10
same Rule:
Ans: ln(2*10) = ln(20)
-----------------------
c) 2 ln 6
Rule: n*log(A) = log(A^n)
Ans: ln(6^2) = ln(36)
-----------------------
d) ln 18 - ln 2
Rule: log(A)-log(B) = log[A/B]
Ans: ln[18/2] = ln(9)
-----------------------
e) ln 21 - ln 3
Rule: log(A)-log(B) = log(A/B)
Ans: ln(21/3) = ln(7)
-----------------------
f) 1/2 ln 25
Rule: n*log(A) = log(A^n)
Ans: ln(25^(1/2)) = ln(5)
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Cheers,
Stan H.