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Suppose that the graph of $y=\log _{2} x$ 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 $\mathrm{ft}$ ?

$x \approx 1084588$ miles

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

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this question asks us to determine how many miles to the right of the origin do we have to move out before the height of the curve reaches three feet? We know three feet is equivalent to 36 inches. We must have constant units. Therefore we substitute 36 inches equals why? And now we're solving for X. We get acts. Is too is our base to the power of 36 which we know two to the 30. Sex is equivalent to 1084588 miles. Remember the answers and

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