Question 746980
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)
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b) ln 2+ ln 10
same Rule:
Ans: ln(2*10) = ln(20)
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c) 2 ln 6
Rule: n*log(A) = log(A^n)
Ans: ln(6^2) = ln(36)
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d) ln 18 - ln 2
Rule: log(A)-log(B) = log[A/B]
Ans: ln[18/2] = ln(9)
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e) ln 21 - ln 3
Rule: log(A)-log(B) = log(A/B)
Ans: ln(21/3) = ln(7)
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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.