Calculating ln(1+sqrt(3)) I distributed the natural logarithm and got (0+0.549) [placing the values in a calculator]. However, the answer key states that the answer is 1.0051.Where did I go wrong?

Rohan Mcpherson 2022-10-06 Answered
Calculating ln ( 1 + 3 )
I distributed the natural logarithm and got ( 0 + 0.549 ) [placing the values in a calculator]. However, the answer key states that the answer is 1.0051
Where did I go wrong?
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Answers (2)

oldgaffer1b
Answered 2022-10-07 Author has 9 answers
The logarithm is not linear. That is, typically ln ( x + y ) ln ( x ) + ln ( y )
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Janessa Benson
Answered 2022-10-08 Author has 1 answers
You are confusing your identities. You are most likely confusing the identity ln ( a b ) = ln a + ln b. In general ln ( a + b ) ln a + ln b. Also, note that if you are using a calculator, you do not need to simplify the expression; you can punch ln ( 1 + 3 ) straight into your calculator (but don't forget the brackets!).
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