In a logarithmic scale chart, every step between 100 and 10 is equal to: 10 points 2 points 50 points 90 points

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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In a logarithmic scale chart, every step between 100 and 10 is equal to:
10 points
2 points
50 points
90 points
Transcribed Image Text:In a logarithmic scale chart, every step between 100 and 10 is equal to: 10 points 2 points 50 points 90 points
Expert Solution
Explanation:

In a logarithmic scale chart, every step between 100 and 10 is not equal to 10 points, 2 points, or 50 points. The correct answer is 90 points.

Each step on a logarithmic scale chart corresponds to the power of the logarithm's base. Each step, for instance, represents a multiple of 10 if the base number is 10. The value is multiplied by 10 if we walk one step to the right, in other words.

The distance is two orders of magnitude for the range between 100 and 10. (i.e., 100 is 2 orders of magnitude greater than 1, and 10 is 1 order of magnitude greater than 1). Thus, the range between 100 and 10 has two steps.

We must divide the range by the number of steps in order to determine the value of each step. In this instance, there are two stages and a range of two orders of magnitude. Hence, each step corresponds to a multiple of 10 or 2/2 = 1 order of magnitude.

As a result, every increment between 100 and 10 corresponds to a multiplication by 10. As we proceed through the numbers 9, 8, 7, 6, 5, 4, 3, 2, 1, and 0 on a logarithmic scale chart, the distance from 100 to 10 is 90 points.

The right response is 90 points.

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