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Exponential Functions
From compound interest to bubonic plague, things that grow or spread really fast are often modeled by exponential functions. Learn about these powerful functions (pun intended?).
Excel in math and science
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What is the value of \(\dfrac{6^5}{6^3}\) ?
Excel in math and science
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by Brilliant Staff
True or false: \((-2)^{3} = 2^{-3}\) ?
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\[f(x) = x^{100}\] \[g(x) = 100^{x}\]
Which is bigger, \(f(10000)\) or \(g(10000)\) ?
Excel in math and science
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\(f\) is an exponential function such that \(f(x) = K(2^{x})\) for some constant \(K\).
If \(f(10) = 2000\) and \(f(a) = 500\), what is the value of \(a\) ?
Excel in math and science
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\[\Large 8^{2n} = 4^{n^2}\]
What is the value of \(n\)?
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by Brilliant Staff