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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?).

Level 1

         

\[\large \color{brown}5^{55} + \color{brown}5^{55} + \color{brown}5^{55} + \color{brown}5^{55} +\color{brown} 5^{55} = \ ? \]

A scientist has a jar of bacteria which double every minute. After one hour, she sees that the jar is full of bacteria. After how many minutes was the jar half full?

\[ \large \frac {\color{red}6^{\color{blue}{2007}} - \color{red}6^{\color{blue}{2006}}}{\color{green}{30}} = \ ? \]

\[\large 2^x=\dfrac{1}{2^y}, \quad\quad\quad x + y = \ ? \]

\[ \large 7^{x+1} + 7^{x-1} = 50, \ \ \ \ \ x = \ ? \]

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