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5th Edition

Saeed Moaveni

Publisher: Cengage Learning

ISBN: 9781305084766

Chapter 18.4, Problem 3BYG

Textbook Problem

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Why do we define logarithmic functions, and how are they defined?

To determine

Define logarithmic functions.

The logarithmic functions are defined for the easy computations of the operations in mathematics.

The logarithmic function can be defined in two ways:

- Common logarithm.
- Natural logarithm.

**Common logarithm:**

The

Example:

Taking log on both sides,

**Natural logarithm:**

The natural logarithm of a number is the logarithm base to the

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

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Ch. 18.4 - Explain the difference between the slopes of a...Ch. 18.4 - Why do we define logarithmic functions, and how...Ch. 18.4 - How do we define the natural logarithm?Ch. 18.4 - VocabularyState the meaning of the following...Ch. 18.5 - What do we mean by the elements of a matrix?Ch. 18.5 - What do we mean by the size of a matrix?Ch. 18.5 - What do we mean by the transpose of a matrix?Ch. 18.5 - What do we mean by the determinant of a matrix?Ch. 18.5 - VocabularyState the meaning of the following...Ch. 18.6 - Why is important to know differential calculus?Ch. 18.6 - Why is important to know integral calculus?Ch. 18.6 - What do we mean by rate of change and give an...Ch. 18.6 - What does the integral sign represent?Ch. 18.6 - VocabularyState the meaning of the following...Ch. 18.7 - What do we mean by a differential equation?Ch. 18.7 - In engineering, what does a differential equation...Ch. 18.7 - VocabularyState the meaning of the following...Ch. 18 - The forcedeflection relationships for three...Ch. 18 - In the accompanying diagram, spring A is a linear...Ch. 18 - The equations describing the position of a water...Ch. 18 - In Chapter 12, we explained that the electric...Ch. 18 - The deflection of a cantilevered beam supporting...Ch. 18 - As we explained in earlier chapters, the drag...Ch. 18 - The cooling rate for three different materials is...Ch. 18 - As explained in earlier chapters, fins, or...Ch. 18 - Use the graphical method discussed in this chapter...Ch. 18 - Use the graphical method discussed in this chapter...Ch. 18 - Without using your calculator, answer the...Ch. 18 - Without using your calculator, answer the...Ch. 18 - Plot the functions, y = x, y = 10x and y = log x....Ch. 18 - Using a sound meter, the following measurements...Ch. 18 - A jet plane taking off creates a noise with a...Ch. 18 - Identify the size and the type of the given...Ch. 18 - Given matrices: [A]=[421707153] [B]=[121533457],...Ch. 18 - Given the following matrices: [A]=[21001661412418]...Ch. 18 - Solve the following set of equations using the...Ch. 18 - Solve the following set of equations using the...Ch. 18 - Solve the following set of equations using the...Ch. 18 - As we explained in Chapter 13, an object having a...Ch. 18 - In Chapter 13, we explained that when a spring is...Ch. 18 - For Example 1 in Table 18.8, verify that the given...Ch. 18 - For Example 3 in Table 18.8, verify that the given...Ch. 18 - We presented Newtons Law of Gravitation in Chapter...Ch. 18 - For Problem 18.26. plot the weight of a person...Ch. 18 - An engineer is considering storing some...Ch. 18 - As we mentioned in Chapter 10, engineers used to...Ch. 18 - The mass moment of inertia I of a disk is given by...Ch. 18 - Use the linear interpolation method discussed in...Ch. 18 - For the cooling of steel plates discussed in...Ch. 18 - For the stopping sight distance problem of Figure...Ch. 18 - The variation of air density at the standard...Ch. 18 - The air temperature and speed of sound for the...Ch. 18 - Estimate the amount of electricity that is...Ch. 18 - Estimate the amount of electricity that is...Ch. 18 - Estimate the amount of electricity that is...Ch. 18 - Estimate the amount of electricity that is...Ch. 18 - Estimate the amount of electricity that is...Ch. 18 - Using linear interpolation, estimate the...Ch. 18 - Using linear interpolation, estimate the...Ch. 18 - Investigate what is meant by numerical analysis....Ch. 18 - Investigate Taylor series expansion. Explain how...Ch. 18 - Investigate the Fourier series. Explain how the...

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