Can e^3 be converted to a logarithmic function with a value of 0.0498?

AI Thread Summary
The discussion revolves around converting the exponential function e^3 to its logarithmic form with the value 0.0498. Participants clarify that the correct conversion is ln(e^3) = ln(0.0498), which simplifies to 3 = ln(0.0498). There is confusion regarding the negative exponent, e^-3, and its logarithmic representation, which correctly translates to -3 = ln(0.0498). The conversation highlights the importance of understanding the properties of logarithms, particularly that ln functions cancel out when applied to both sides of an equation. Overall, the focus remains on accurately converting exponential expressions to logarithmic form.
shoook
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1. Convert to logarithmic function: e^3=0.0498
3. ln(-3)=0.0166 is my guess
 
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you cannot take the ln of a negative number
 
okay well I was wrong, could it be ln(3)=0.0166?
 
where is .01666 coming from?
 
i divided 0.0498 by 3. that is totally wrong though.
 
shoook said:
i divided 0.0498 by 3. that is totally wrong though.
yes.

since it just asks you to convert to log form, just leave it

e^{3}=0.0498

ln(e^{3})=ln(0.0498)
 
okay if the equation was e^-3=0.0498 would I just rewrite it as:
ln(e^-3)=ln(0.0498) ? Also, does ln remain on the right side as well as the left?
 
no they cancel each other out, i was just showing you the operation; sorry for the confusion.

3=ln(0.0498)
 
Last edited:
Uh, you mean -3=ln(0.0498...), right?
 
  • #10
shoook said:
okay if the equation was e^-3=0.0498 would I just rewrite it as:
ln(e^-3)=ln(0.0498) ? Also, does ln remain on the right side as well as the left?
then it would be

-3=ln(0.0498)
 
  • #11
Dick said:
Uh, you mean -3=ln(0.0498...), right?
that's his 2nd question
 
  • #12
Well, ok, however you want to handle it. But seeing stuff like 3=ln(0.0498) makes me nervous.
 
  • #13
Dick said:
Well, ok, however you want to handle it. But seeing stuff like 3=ln(0.0498) makes me nervous.
lol sorry!
 
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