   Chapter 1.5, Problem 45E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Suppose that the graph of y = log2 x is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve reaches 3 ft?

To determine

To find: How many miles to the right of the origin need to be moved before the height of the curve reaches 3 ft if the graph y=log2x is drawn on the coordinate plane with the scale, one unit equals one inch.

Explanation

The given function is, y=log2x .

Since 1 ft = 12 inches, the curve reaches 3 ft which is equivalent to 36 inches.

So, substitute y=36 in the given function and then solve for x.

36=log2x236=2log2x&#

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