anonymous
  • anonymous
Can you please help guide me through the last steps in this equation involving logarithms?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[1+\ln x = \ln4\]
anonymous
  • anonymous
I am solving for x. Can you nudge me about the ln properties?
jim_thompson5910
  • jim_thompson5910
1+ln(x) = ln(4) 1 = ln(4)-ln(x) 1 = ln(4/x) 4/x = e^1 4/x = e 4 = ex 4/e = x x = 4/e

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anonymous
  • anonymous
Thanks, I'll see if I can follow this on paper here... Just a sec...
jim_thompson5910
  • jim_thompson5910
The properties I used were ln(x) - ln(y) = ln(x/y) and ln(x) = y converts to e^y = x
anonymous
  • anonymous
I see the division coming into play with the subtraction.
anonymous
  • anonymous
The last one is the key I was missing.
anonymous
  • anonymous
you can also try \[\ln(x)=\ln(4)-1\] \[x=e^{\ln(4)-1}=e^{\ln(4)}\times e^{-1}=\frac{4}{e}\]
anonymous
  • anonymous
ln x = e to what power gives us x Logarithms confuse me to no end, despite how "simple" they are supposed to be.
anonymous
  • anonymous
I have duplicated the algebra, and it makes sense. Are you aware of a really good ln tutorial with exercises?
jim_thompson5910
  • jim_thompson5910
try this page: http://www.purplemath.com/modules/solvelog.htm
anonymous
  • anonymous
Thank you. If you answer that tutorial question in the new Q I posted, I'd be pleased to pin a medal upon you.

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