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

In summary, the conversation was about converting an exponential function, e^3=0.0498, to logarithmic form and discussing the use of ln with negative numbers. The correct solution was determined to be -3=ln(0.0498).
  • #1
shoook
23
0
1. Convert to logarithmic function: e^3=0.0498
3. ln(-3)=0.0166 is my guess
 
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  • #2
you cannot take the ln of a negative number
 
  • #3
okay well I was wrong, could it be ln(3)=0.0166?
 
  • #4
where is .01666 coming from?
 
  • #5
i divided 0.0498 by 3. that is totally wrong though.
 
  • #6
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

[tex]e^{3}=0.0498[/tex]

[tex]ln(e^{3})=ln(0.0498)[/tex]
 
  • #7
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?
 
  • #8
no they cancel each other out, i was just showing you the operation; sorry for the confusion.

[tex]3=ln(0.0498)[/tex]
 
Last edited:
  • #9
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

[tex]-3=ln(0.0498)[/tex]
 
  • #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!
 

What is a log function?

A log function is a mathematical function that represents the inverse of an exponential function. It is used to solve equations involving exponential expressions.

Why convert to a log function?

Converting to a log function can make solving equations easier, especially when the equation involves exponential terms. It can also help to visualize and understand the behavior of exponential functions.

How do you convert an exponential function to a log function?

To convert an exponential function to a log function, use the properties of logarithms to rewrite the equation in the form of logb(x) = y, where b is the base of the logarithm.

What are the properties of logarithms?

The properties of logarithms include the product rule, quotient rule, power rule, and change of base rule. These properties allow us to manipulate logarithmic equations and simplify them for easier solving.

What are common uses of log functions in science?

Log functions are commonly used in science to represent data that spans a wide range of values, such as pH levels, earthquake magnitudes, and sound intensity. They are also used in chemistry to calculate concentrations and in biology to measure growth rates.

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