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What is the result of this expression , It should mention that the log is natural logarithm. $$ \log\left(\exp(-x) - \exp(-y)\right) $$ Could we use the formula which mentioned in wikipedia about

Here's a way that may be the easiest to understand, using the change-of-base formula in its simplest form: $$ (\log_4 7)(\log_7 5) = \frac{\log_e 7}{\log_e 4} \cdot ...

2020年1月18日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

2018年10月5日 · Given these two examples from my math course: Example A: $$\log(50) + \log(x/2) = 2 \implies \log 25x = 2 \implies 25x = 10^2 \implies x = 4.$$ Example B: $$\log(72 ...

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

$\begingroup$ As an example, in manufacturing, many measurements end up being normally distributed (or log normal, or other 'standard' distributions). If you notice that the parameters of …

2023年12月8日 · Apply the ratio test on the expression obtained after subtracting $\log 4$ as usual. You will observe that the radius of convergence will turn out to be $4$ , since the …

I'm going to assume log means "log base $10$" To do this, we use an inverse property for logs that says: $$10^{log(x)} = x.$$ Take a base of $10$ on both sides: $$10^{\log\left( \dfrac{x}{3} …

$\begingroup$ You have found $\mu_E,\sigma_E$ correctly (the mean of distribution E is negative), I checked your numbers on that.