\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

Suppose you saw in the news that there was a new disease, and one person was hospitalized with it. There had been no hospitalizations before today—and yet, there had been 12,800 positive tests today ...

Exponential integrators represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...

Sure, “exponential growth” sounds impressive. But it usually isn’t. By Manil Suri Dr. Suri teaches math at the University of Maryland, Baltimore County. Here’s a trend I find worrisome enough to ...

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Remember one of the laws of logs: \(n{\log _a}x = {\log _a}{x^2}\) Another one of the laws are used here: \({\log _a}x + {\log _a}y = {\log _a}xy\) ...