Natural Log

  • Thread starter mattmannmf
  • Start date
  • #1
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I have the following function:

y= (sqrt(8x^4-5)) / (x-1)

take the natural log of both sides:

1) ln y= ln (sqrt( 8x^4-5) - ln (x-1)

OR

2) ln y= 1/2 ln(8x^4-5) - ln (x-1)

Which one is correct?

I know when i take the natural log of a/b its ln(a)- ln(b)... but also when i take the natural log of a^q its qln(a)...does that apply in this situation also or is it just ln(a)- ln(b)?
 

Answers and Replies

  • #2
452
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The second would would be the correct option.
 
  • #3
172
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ok i thought so...thanks!
 
  • #4
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They're both correct. ln (sqrt( 8x^4-5)) = ln (8x^4 - 5)1/2 = (1/2) ln(8x^4 - 5)
 
  • #5
HallsofIvy
Science Advisor
Homework Helper
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Both are correct. The second is simpler and more likely to be accepted as the "correct" way.
 

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