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Chapter 3: Problem 22

Use a calculator to evaluate \(f(x)=\log x\) at the indicated value of \(x .\) Round your result to three decimal places. $$x=\frac{1}{500}$$

Short Answer

Expert verified
The evaluated and rounded value of \(f(x) = \log \frac{1}{500} \) would depend on the logarithm base used in the calculator. For a calculator that uses base 10 (log) by default, the numerical value would be different than for a calculator that uses the natural logarithm (ln). Always refer to your calculator manual to know which base is used by default.

Step by step solution

01

Understand the Logarithm Function

The log function, \(f(x) = \log x\), is the inverse of the exponential function. This function is defined for all positive real numbers.
02

Input the Value into the Calculator

Enter the given value for \(x\) which is \(\frac{1}{500}\) into the calculator using the button for logarithm.
03

Calculate and Round the Result

After the calculation, round off the result to three decimal places.

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