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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?).

Given \(9^a = 27^{10} \), where \(a\) is a positive integer, what is the value of \(a\)?

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How many real values of \(x\) satisfy the following equation \(9^x - 6 \cdot 3^x - 55 = 0\)?

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Solve for \(x \)

\[ 5 ^ x + 5 ^{x-1} + 5 ^ {x-2} = 3875 . \]

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