Struggling to understand how I get this answer

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In summary, the conversation discusses the process of finding the answer to the equation W = 220∫ V^-1 dV by using the basic rule for a negative power and the properties of logarithms. The final answer is 152.49 Rad and can be obtained by taking the difference of ln 0.2 and ln 0.1, which is equal to ln 2. This method is clarified through examples and explanations.
  • #1
PizzaWizza
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Struggling to understand how this answer works.
This is just a worked example from a university paper.

W = 220∫ V^-1 dV...between the limits of 0.1 & 0.2...(Answer is 152.49 Rad)

I understand that the basic rule for a negative power would give us ln x, but from here I would say that the answer would be the difference of ln 0.2 and ln 0.1?
I need to get ln(2) for the answer to be correct, just not sure how?
 
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  • #2
Surely ln(0.2) - ln(0.1) = ln(0.2/0.1) = ln(2)
 
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  • #3
Merlin3189 said:
Surely ln(0.2) - ln(0.1) = ln(0.2/0.1) = ln(2)
I was deducting ln 0.1 from ln 0.2, thanks
 
  • #4
PizzaWizza said:
I was deducting ln 0.1 from ln 0.2, thanks
Same difference:

ln (0.2) = -1.6094
ln (0.1) = -2.3026

ln (0.2) - ln (0.1) = -1.6094 - (-2.3026) = 0.6931 = ln (2)
 
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  • #5
SteamKing said:
Same difference:

ln (0.2) = -1.6094
ln (0.1) = -2.3026

ln (0.2) - ln (0.1) = -1.6094 - (-2.3026) = 0.6931 = ln (2)
Ah. I see. That makes it clearer. Thanks
 

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