Log vs ln

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sticky1

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What is the difference between "log" and "ln"? Some equations have "log" and some have "ln" in them.

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log is logarithm with base 10, whereas ln is logarithm with base e.

log 10 = 1
ln e = 1

log can be converted to ln using the change of base formula. It's really a matter of personal preference of whether you use log or ln.
 
"ln" stands for natural log of the irrational constant e. It is the log with base e of x.

loge(x) = ln(x)

e=2.714
 
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log is logarithm with base 10, whereas ln is logarithm with base e.

log 10 = 1
ln e = 1

log can be converted to ln using the change of base formula. It's really a matter of personal preference of whether you use log or ln.

How do you solve for "i" in 12=log(i/10^-12) using logs?
 
10 raise to the log power is whatever is inside the log parentheses.

So 10 ^ (log i/10^-12) = i/(10^-12)
Of course what you do on one side of an equation has to be done to the other, so:
10^12 = i /(10^-12 )

I think you got it from here..

hope that helped. check out my thread and see if you can return the favor. Thanks!
 
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