/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 21 Use a calculator to evaluate \(f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 21

Use a calculator to evaluate \(f(x)=\log x\) at the indicated value of \(x .\) Round your result to three decimal places. $$x=\frac{7}{8}$$

Short Answer

Expert verified
To be replaced with the specific numerical value that you get when you compute \( \log(7/8) \) and round it to three decimal places. The result will depend on the specific model of calculator used.

Step by step solution

01

Substitute the given value into the function

First, substitute the value of \(x=\frac{7}{8}\) into \(f(x)=\log x\) to get \(f(\frac{7}{8})=\log (\frac{7}{8})\).
02

Use a Calculator to Compute the Logarithm

Next, input \(\log(7/8)\) into a calculator capable of handling logarithms. It's important to make sure the calculator is set to compute the natural logarithm. If not specified, the base is assumed to be \(e\), which is the natural logarithm.
03

Round the result

Finally, round the obtained result to 3 decimal places to get the final answer. Most calculators display a longer decimal that needs to be rounded. Use the standard rules for rounding: if the digit after the third decimal place is 5 or more, round up the third decimal place; if it's less than 5, keep the third decimal place as is.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises \(97-102,\) determine whether the statement is true or false given that \(f(x)=\ln x .\) Justify your answer. $$f(x-2)=f(x)-f(2), \quad x > 2$$

The demand equation for a smart phone is \(p=5000\left(1-\frac{4}{4+e^{-0.002 x}}\right)\) Find the demand \(x\) for a price of \((\mathrm{a}) p=\$ 169\) and (b) \(p=\$ 299\)

Limit of a Function (a) Complete the table for the function \(f(x)=(\ln x) / x\)\begin{array}{|l|l|l|l|l|l|l|} \hline x & 1 & 5 & 10 & 10^{2} & 10^{4} & 10^{6} \\ \hline f(x) & & & & & & \\ \hline \end{array}

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $$\log _{2} x+\log _{2}(x+2)=\log _{2}(x+6)$$

Use the acidity model given by \(\mathbf{p H}=-\log \left[\mathbf{H}^{+}\right],\) where acidity \((\mathbf{p H})\) is a measure of the hydrogen ion concentration \(\left[\mathbf{H}^{+}\right]\) (measured in moles of hydrogen per liter) of a solution. The \(\mathrm{pH}\) of a solution decreases by one unit. By what factor does the hydrogen ion concentration increase?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.