Apr 30, 2016 · I was wondering how one would multiply two logarithms together? Say, for example, that I had: $$\\log x·\\log 2x < 0$$ How would one solve this? And if it weren't …

Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take …

May 25, 2017 · The practical real-life application of logarithms in doing arithmetic came before the days of hand-held electronic calculators (if you are young, let me explain that a hand-held …

I've never encountered the following type of logarithmic simultaneous equations. I'm supposed to solve for x and y, but I just can't seem to figure it out. $$ \\log_9 {(xy)} = \\frac {5}{2}$$ $$ \\lo...

Jun 28, 2017 · I have always heard an expression like $\\ln (x^2)$ pronounced aloud as "ell-enn ex squared". That is, the name of the function $\\ln$ is read aloud as a two-letter abbreviation. …

Apr 5, 2017 · Is there any series for natural log(x) where x is any number,unlike Taylor series for log(1+x) where |x|<1?

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Jan 10, 2021 · My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative …

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Jan 5, 2021 · I know very well what a logarithmic function is, but I don't understand how it's meaning is extended into the concept of algebraic series. I also learnt about the exponential …