Define a Function $F : \mathbf { R } ^ { + } \longrightarrow \mathbf { R }$

question 20

Essay

Define a function $F : \mathbf { R } ^ { + } \longrightarrow \mathbf { R }$ by the formula $F ( x ) = \log _ { 2 } ( x )$ for all positive real numbers $x$ .
(a) Graph $F$ , marking units carefully on your axes.
(b) What is $F \left( \frac { 1 } { 8 } \right)$ ? Why?
(c) Write the equation $2 ^ { 20 } = 1,048,576$ in logarithmic form.

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Definitions:

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