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Chapter 5: Q 41. (page 308)

Write each expression as a sum and/or difference of logarithms. Express powers as factors.
$\ln (e x)$

Short Answer

Expert verified

The result is $1 + \ln x$ .

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\ln (e x)$

02

Step 2. Calculation.

Apply the logarithm property to simplify.

$\begin{array}{rcl} \ln (e x) & = & \ln e + \ln x \\ = & 1 + \ln x \end{array}$

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Most popular questions from this chapter

A function $f$ has an inverse function. If the graph of $f$ lies in quadrant I in which quadrant does the graph of $f^{- 1}$ lie?

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