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Chapter 5: Q 79. (page 309)

Graph each function using a graphing utility and the Change-of-Base Formula.
$y = \log_{4} x$

Short Answer

Expert verified

Consider the given function.

$y = \log_{4} x$

Step by step solution

01

Step 1. Given information.

Consider the given function.

$y = \log_{4} x$

02

Step 2. Calculation.

Apply the change base formula.

$\begin{array}{rcl} y & = & \log_{4} x \\ = & \frac{\log x}{\log 4} \end{array}$

03

Step 3. Graph.

Draw the graph of the obtained base change function.

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Most popular questions from this chapter

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

$f (x) = 7 - 3 e^{2 x}$

The domain of a one-to-one functionf is $[0, \infty)$ , and its range is $[5, \infty)$ . State the domain and the range of $f^{- 1}$ .

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

localid="1646160286433" $f (x) = 5 - e^{- x}$

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solve each equation. Verify your results using a graphing utility.

$4^{x^{2}} = 2^{x}$

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