anonymous
  • anonymous
ln8x=4 ?
Mathematics
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anonymous
  • anonymous
ln8x=4 ?
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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anonymous
  • anonymous
Yes
anonymous
  • anonymous
\[ln(8x) = 4 \iff e^4 = 8x\]
anonymous
  • anonymous
By the definition of the logarithm

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anonymous
  • anonymous
So then what would you do?
anonymous
  • anonymous
how do i solve for x?
anonymous
  • anonymous
Well, you have \(8x = e^4\) If I told you that 7a = 25, how would you solve for a?
anonymous
  • anonymous
divide 25 by 7
anonymous
  • anonymous
would the answer be 6.82?
anonymous
  • anonymous
Yep, or at least that's a close approximation.
anonymous
  • anonymous
okay, so if were to have ln(5-x)=12 how would ibegin with solving that?
anonymous
  • anonymous
Same deal. \[ln(a) = b \iff e^b = a\]
anonymous
  • anonymous
Those two expressions are equivalent.
anonymous
  • anonymous
ok, so e to the 12 power = 5-x ?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
does it equal approx -162749.8?
anonymous
  • anonymous
yep
anonymous
  • anonymous
thank you
anonymous
  • anonymous
Very welcome =)

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