Questions: For the exponential function f(x)=3 * 5^x, what is the value of f(4)?

Transcript text: For the exponential function $f(x)=3 \cdot 5^{x}$, what is the value of $f(4)$ ?

Solution

Step 1: Identify the values of $a$ and $b$

The given values are $a = 3$ and $b = 5$.

Step 2: Substitute the given value of $x$ into the function

We substitute $x = 4$ into the function $f(x) = a \cdot b^{x}$.

Step 3: Calculate $b^{x}$

We calculate $b^{x} = 5^{4} = 625$.

Step 4: Multiply the result of $b^{x}$ by the coefficient $a$

We multiply the result by $a$, which gives $f(x) = 3 \cdot 625 = 1875$.

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