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mrs_skeptik [129]
10 months ago
7

This one is super hard

Mathematics
1 answer:
kipiarov [429]10 months ago
5 0

We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have

\begin{gathered} 14=ab^0 \\ 14=a \end{gathered}

We use the second point given (3,3024) to solve for the value of <em>b</em>,

3024=ab^3

Substitute the value of <em>a</em> solved by the equation above on the equation above and solve

\begin{gathered} 3024=14b^3 \\ b=\sqrt[3]{216} \\ b=6 \end{gathered}

Hence, the exponential function is written as

f(x)=14(6)^x

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