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Chapter 5: Q 82. (page 309)

Graph each function using a graphing utility and the Change-of-Base Formula.
$y = \log_{4} (x - 3)$

Short Answer

Expert verified

Consider the given function.

$y = \log_{4} (x - 3)$

Step by step solution

01

Step 1. Given information.

Consider the given function.

$y = \log_{4} (x - 3)$

02

Step 2. Calculation.

Apply the change base formula.

$\begin{array}{l} y = \log_{4} (x - 3) \\ = \frac{\log (x - 3)}{\log 4} \end{array}$

03

Step 3. Graph.

Draw the graph of the obtained base change function.

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Most popular questions from this chapter

If $g (- 5) = 3$ and g is one-to-one, what is $g^{- 1} (3)$ ?

Find the inverse of the linear function $f (x) = m x + b m \neq 0$

Find $f (3 x)$ if $f (x) = 4 - 2 x^{2}$ .

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and verify your results using a graphing utility.

The graphs of $y = a^{- x}$ and $y = {[\frac{1}{a}]}^{x}$ are identical. Why?

See all solutions

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