Problem 27 - Algebra and Trigonometry Real Mathematics, Real People

Question

Use a calculator to evaluate the function at the indicated value of \(x .\) Round your result to three decimal places. (Value) $$x=345$$ $$x=\frac{4}{5}$$ $$x=14.8$$ $$x=4.3$$ (Function) $$f(x)=\log _{10} x$$

Step-by-Step Solution

Answer

The computed values are: \(f(345)\) is approximately 2.538, \(f(4/5)\) is approximately -0.097, \(f(14.8)\) is approximately 1.170, and \(f(4.3)\) is approximately 0.633.

Step 1: Evaluate \(f(x)\) for \(x=345\)

Input \(x=345\) into the function and evaluate \(f(x)=\log _{10} 345\). Use a calculator to find the value and round the result to three decimal places.

Step 2: Evaluate \(f(x)\) for \(x=4/5\)

Input \(x=4/5\) into the function and evaluate \(f(x)=\log _{10} (4/5)\). Use a calculator to find the value and round the result to three decimal places.

Step 3: Evaluate \(f(x)\) for \(x=14.8\)

Input \(x=14.8\) into the function and evaluate \(f(x)=\log _{10} 14.8\). Use a calculator to find the value and round the result to three decimal places.

Step 4: Evaluate \(f(x)\) for \(x=4.3\)

Input \(x=4.3\) into the function and evaluate \(f(x)=\log _{10} 4.3\). Use a calculator to find the value and round the result to three decimal places.