Answered: Use a graphing utility and the…

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Calculus

Use a graphing utility and the change-of-base property to graph the function, y = log2(x + 2)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.4: Graphs Of Logarithmic Functions

Problem 2SE: What type (s) of translation(s), if any, affect the range of a logarithmic function?

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Question

Use a graphing utility and the change-of-base property to graph the function, y = log₂(x + 2)

Expert Solution

Step 1

Given logarithmic equation is $y = \log_{2} (x + 2)$ .

Using the change of base formula,

$\begin{array}{rcl} y & = & \log_{2} (x + 2) \\ = & \frac{\log_{10} (x + 2)}{\log_{10} (2)} \\ = & \frac{\ln (x + 2)}{\ln (2)} \end{array}$

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