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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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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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Given \(9^a = 27^{10} \), where \(a\) is a positive integer, what is the value of \(a\)?
Excel in math and science
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Our wiki is made for math and science
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by Brilliant Staff
How many real values of \(x\) satisfy the following equation \(9^x - 6 \cdot 3^x - 55 = 0\)?
Excel in math and science
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What is the sum of the absolute values of all the \(x\)'s that satisfy the equation \[(2+\sqrt{3})^x+(2-\sqrt{3})^x=4?\]
Excel in math and science
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\(x\) and \(y\) are real numbers that satisfy \(45y = 81^x\) and \(5y = 3^{x + 64}\). What is the value of \(x\)?
Excel in math and science
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Solve for \(x \)
\[ 5 ^ x + 5 ^{x-1} + 5 ^ {x-2} = 3875 . \]
Excel in math and science
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by Brilliant Staff