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Chapter 5: Q 80. (page 309)

Graph each function using a graphing utility and the Change-of-Base Formula.
$y = \log_{5} x$

Short Answer

Expert verified

Consider the given function.

$y = \log_{5} x$

Step by step solution

01

Step 1. Given information.

Consider the given function.

$y = \log_{5} x$

02

Step 2. Calculation.

Apply the change base formula.

$\begin{array}{l} y = \log_{5} x \\ = \frac{\log x}{\log 5} \end{array}$

03

Step 3. Graph.

Draw the graph of the obtained base change function.

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Most popular questions from this chapter

The graph of an exponential function is given. Match each graph to one of the following functions.

Evaluate each expression using the graphs of $y = f (x)$ and $y = g (x)$ shown in the figure.

(a) $(g \circ f) (- 1)$ (b) $(g \circ f) (0)$ (c) $(f \circ g) (- 1)$ (d) $(f \circ g) (4)$ .

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{3 x}{x + 2}$

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.

$f (x) = e^{- x}$

If $f (x) = a^{x}$ , show that $f (- x) = \frac{1}{f (x)}$ .

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