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How do you do logarithm with ln?

Updated: 9/22/2023
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Q: How do you do logarithm with ln?
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Is there a function where the first derivative goes to infinity for x going to 0 and where the first derivative equals 0 when x is 1?

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If y equals log x what is dy over dx?

Assuming that is the natural logarithm (logarithm to base e), the derivative of ln x is 1/x. For other bases, the derivative of logax = 1 / (x ln a), where ln a is the natural logarithm of a. Natural logarithms are based on the number e, which is approximately 2.718.


What does In x equal?

ln x is the natural logarithm of x, that is the logarithm to base e where e is euler's number (an irrational number that starts 2.71828...). If y = ln x then x = ey


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ln(x) is the natural logarithm of x (also known as logarithm to the base e, where e is approximately 2.718).


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I think you are thinking "natural logarithm" which is ln (lowercase L, not I). If you have taken calculus you learn about logarithm and its relationship with exponents