\({\log _a}a = 1\) (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 ...

An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). The unknown variable (often the letter \(x\)) can take any ...

ChatGPT, Photomath, Symbolab, and other artificial intelligence-powered platforms can solve a complicated math equation in just seconds—and provide a step-by-step explanation of the answer. That power ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Math is one of the hardest subjects in school, which is why owning a graphing calculator seems like a necessity for students. But what if you could use your smartphone to solve equations by pointing ...

Consider solving the Dirichlet problem $$\Delta u(P) = 0, P \in \mathbb R^2\backslash S,$$ $$u(P) = h(P),\quad P \in S,$$ $$\sup|u(P)| < \infty,$$ $$P \in \Bbb{R}^2 ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...