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  1. logarithms - I have a hard time understanding why $\ln e=1 ...

    Jan 23, 2014 · I have a hard time understanding why $\\ln e=1$ Can someone explain to me why the natural logarithm of e is exactly equal to the first nonzero but positive integer?

  2. Here is the statement: ln (ln e) = 0? - Mathematics Stack Exchange

    Oct 7, 2017 · ln(lne) = ln1 = 0 The logarithm on base a of a is always 1, since a1. In addition, it has to be a> 0 and a other than 1, so that there are no problems.

  3. complex analysis - What is the value of $\ln (e^ {2i\pi ...

    Oct 31, 2021 · The natural logarithm is multivalued with respect to complex numbers. This means that the natural logarithm is not a function because its outputs are not unique. In order to deal …

  4. Nice question in calculas? - Socratic

    I am nit sure it is a proof....but anyway: From the definition of log: log_bx=a auch that: x=b^a that is, the integrand is equal to the base to the power of the result. In our case we know that the …

  5. real analysis - Proving $\ln e = 1$ - Mathematics Stack Exchange

    is it possible to show that ln e = 1 ln e = 1 without showing first that exp exp and ln ln are inverse functions? Here, e e is defined by the series

  6. Simplify $\\ln(e^{2x+1})$ - Mathematics Stack Exchange

    Apr 12, 2018 · I was trying to do an integration problem with u sub and got stuck, one part of the equation was this $\\ln(e^{2x+1})$ this is suppose to simplify really nicely according to a site, is …

  7. How to solve $(\\ln e)^2$ - Mathematics Stack Exchange

    Dec 6, 2017 · I know that $$\\ln e^2=2$$ But what about this? $$(\\ln e)^2$$ A calculator gave 1. I'm really confused.

  8. logarithms - how to find $\ln (-e)$ - Mathematics Stack Exchange

    Mar 14, 2020 · I don't really understand the step by step procedure on how to calculate this? That $-$ confuses me, because I don't understand how there can be an $\\ln$ of a negative …

  9. The difference between log and ln - Mathematics Stack Exchange

    Dec 5, 2023 · Expanding on Henning's comment, even "ln" is ambiguous in the wider community because it's interpreted as short for "logarithm" versus the esoteric "logarithmus naturalis" (in …

  10. geometry - How to find coordinates of reflected point?

    Let me me add another one for passers by : We can get the perpendicular distance from the point to the line by : ax+by+c a2+b2√ a x + b y + c a 2 + b 2 where a, b, c are coefficients of the line …