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Chapter 4: Problem 27

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) $$f(x)=\log _{10} x$$

Short Answer

Expert verified
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 by step solution

01

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.
02

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.
03

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.
04

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.

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Most popular questions from this chapter

Solve the logarithmic equation algebraically. Round the result to three decimal places. Verify your answer(s) using a graphing utility. $$\log _{4} x-\log _{4}(x-1)=\frac{1}{2}$$

Use a graphing utility to create a scatter plot of the data. Decide whether the data could best be modeled by a linear model, an exponential model, or a logarithmic model. $$(1,11.0),(1.5,9.6),(2,8.2),(4,4.5),(6,2.5),(8,1.4)$$

Solve the logarithmic equation algebraically. Round the result to three decimal places. Verify your answer(s) using a graphing utility. $$\log _{10} 4 x-\log _{10}(12+\sqrt{x})=2$$

Use a graphing utility to create a scatter plot of the data. Decide whether the data could best be modeled by a linear model, an exponential model, or a logarithmic model. $$(1,5.8),(1.5,6.0),(2,6.5),(4,7.6),(6,8.9),(8,10.0)$$

Solve the logarithmic equation algebraically. Round the result to three decimal places. Verify your answer(s) using a graphing utility. $$\log _{3} x+\log _{3}(x-8)=2$$
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