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Chapter 3: Problem 111

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms. Then use a graphing utility to graph the ratio. $$f(x)=\log _{11.8} x$$

Short Answer

Expert verified
The function \(f(x)=\log _{11.8} x\) can be rewritten as \(f(x)= \frac{\log_{10} x}{\log_{10} 11.8}\) using the change-of-base formula. We then graph this function using a graphing utility

Step by step solution

01

Apply Change of Base Formula

We apply the change of base formula to change the base of the logarithm to 10. So, \(f(x)=\log _{11.8} x\) can be rewritten as: \(f(x)= \frac{\log_{10} x}{\log_{10} 11.8}\)
02

Use a Graphing Utility to Graph the Function

To graph the function, input the function \(f(x)= \log_{10} x / \log_{10} 11.8\) into the graphing utility. Make sure to set an appropriate range for x-values to ensure a diverse range of function values are displayed.

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