Use the function below to find F(3).𝐹(𝑥)=4∙(13)𝑥F(x)=4∙( 31​ ) x A.4334​ B.427274​ C.4994​ D.481814​ SUBMITarrow_backPREVIOUS

1. Break Down the Problem

We need to evaluate the function $F(x) = 4 \cdot (13)^x$ at $x = 3$. This involves substituting $x = 3$ into the function.

2. Relevant Concepts

The relevant mathematical concept here is to substitute the variable in the function and apply the basic properties of exponents.

3. Analysis and Detail

Let's perform the substitution step-wise:

1. Substitute $x = 3$: $F(3) = 4 \cdot (13)^3$
2. Calculate $(13)^3$: $(13)^3 = 13 \cdot 13 \cdot 13 = 169 \cdot 13 = 2197$
3. Multiply by 4: $F(3) = 4 \cdot 2197 = 8788$

4. Verify and Summarize

We've calculated $(13)^3$ as 2197 and multiplied it by 4, yielding 8788.

Final Answer

Thus, the value of $F(3)$ is 8788. However, since this value does not match any options given, it seems there may have been a miscalculation or misinterpretation of the function. Please verify if the function is correctly stated or if the options were accurate.