/*! 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 16 Evaluate each logarithm to four ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Problem 16

Evaluate each logarithm to four decimal places. \(\log 0.1741\)

Short Answer

Expert verified
\(\log 0.1741 \approx -0.7597\)

Step by step solution

01

Understanding the logarithm

To evaluate \(\text{log} \, 0.1741\) to four decimal places, use a scientific calculator.
02

Entering value in calculator

Input the value 0.1741 into the calculator and press the \( \text{log} \) button.
03

Reading the result

Read the result displayed on the calculator screen. Ensure the value is rounded to four decimal places.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Logarithms
A logarithm is essentially an exponent. It tells us how many times we need to multiply a base number to get another number. For example, in base 10, \(\text{log} \, 100 = 2\) because 10 raised to the power of 2 is 100. Similarly, we can think of \(\text{log} \, 0.1741\) as finding the power to which 10 must be raised to get 0.1741.

When working with logarithms, it is crucial to understand the base of the logarithm. In most cases, like with the \(\text{log} \) button on your calculator, the base is 10, also known as the common logarithm. Hence, \(\text{log} \, 0.1741\) implies base 10 unless stated otherwise.

Additionally, logarithms have several properties that make calculations simpler:
  • \

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

Solve each equation. Approximate solutions to three decimal places. $$ 3^{2 x+1}=5^{x-1} $$

$$ \left(\frac{3}{2}\right)^{x}=\frac{16}{81} $$

Each of the following functions is one-to-one. Graph the function as a solid line (or curve), and then graph its inverse on the same set of axes as a dashed line (or curve). Complete any tables to help graph the functions. $$ f(x)=-4 x $$

Suppose that you are an agent for a detective agency. Today's encoding function is \(f(x)=4 x-5 .\) Find the rule for \(f^{-1}\) algebraically.

Solve each equation. \(\log _{10} x=-2\)
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

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.