# 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 = log 2 x is drawn on the coordinate plane with the scale, one unit equals one inch.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.6, Problem 45E
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.

Expert Solution

The distance has to be moved to the right of the origin is 1084587.7 miles.

### Explanation of Solution

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[alogax=x]236=xx=68719476736

Thus, x=68719476736 inches.

Since 1 mile = 63360 inches, x1084587.7 miles.

Hence, the distance has to be moved to the right of the origin is 1084587.7 miles.

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