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Use the function below to find F(3).𝐹(𝑥)=(15)𝑥F(x)=( 51​ ) x A.11251251​ B.3553​ C.115151​ D.31251253​ SUBMITarrow_backPREVIOUS

Question

Use the function below to find F(3).

F(x)=(15)x F(x) = (15)x

F(3) = ?

A. 1125
B. 3553
C. 1151
D. 3125

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Solution

1. Break Down the Problem

We need to evaluate the function F(x)=(15)x F(x) = (15)x at x=3 x = 3 .

2. Relevant Concepts

The function appears to be of the form F(x)=ax F(x) = a^x where a=15 a = 15 in this scenario. We will substitute x x with the value 3 3 .

3. Analysis and Detail

To calculate F(3) F(3) : F(3)=153=15×15×15 F(3) = 15^3 = 15 \times 15 \times 15 Calculating step by step:

  1. First, calculate 15×15 15 \times 15 : 15×15=225 15 \times 15 = 225

  2. Then multiply the result by 15 15 : 225×15=3375 225 \times 15 = 3375

4. Verify and Summarize

Thus, we verify: F(3)=153=3375 F(3) = 15^3 = 3375

Final Answer

The final result is: F(3)=3375 F(3) = 3375

None of the provided options (A, B, C, or D) match this result.

This problem has been solved

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