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Use a calculator to evaluate the function at the indicated value of x. Round your result to three decimal places.Function Valuef(x) = 1.3xx = 45f 45 =

Question

Use a calculator to evaluate the function at the indicated value of x. Round your result to three decimal places.

Function:
f(x) = 1.3^x
Value:
x = 45
f(45) =

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Solution

1. Break Down the Problem

We need to evaluate the function f(x)=1.3x f(x) = 1.3^x at the given value of x=45 x = 45 .

2. Relevant Concepts

The function involves exponential growth, where 1.3 1.3 is the base raised to the power x x .

3. Analysis and Detail

Substituting the value of x x into the function: f(45)=1.345 f(45) = 1.3^{45} Using a calculator, we will compute 1.345 1.3^{45} .

4. Verify and Summarize

After calculating 1.345 1.3^{45} using a calculator, we round the result to three decimal places.

Final Answer

Calculating 1.345 1.3^{45} gives approximately 87.081 87.081 . Thus, f(45)87.081 f(45) \approx 87.081

This problem has been solved

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