Chapter 10: Q. 396 (page 1064)

In the following exercises, convert each logarithmic equation to exponential form.
$4 = \ln (x)$

Short Answer

Expert verified

The exponential form is $e^{4} = x$ .

Step by step solution

Step 1. Concept used

Consider the logarithmic form $4 = \ln (x)$ .

The logarithmic form role="math" localid="1645022611896" $y = \log_{a} (x)$ is equivalent to exponential form

$a^{y} = x$ .

Step 2. Write in exponential form

Comparing $4 = \ln (x)$ with the standard form,

$y = \log_{a} (x)$ we have

$y = 4 a = e x = x$

So substituting the values in the standard exponential form $a^{y} = x$ we get

$a^{y} = x e^{4} = x$

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In the following exercises, convert each logarithmic equation to exponential form.
$4 = \ln (x)$

Short Answer

Step by step solution

Step 1. Concept used

Step 2. Write in exponential form

One App. One Place for Learning.

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In the following exercises, convert each logarithmic equation to exponential form. 4=lnx

Short Answer

Step by step solution

Step 1. Concept used

Step 2. Write in exponential form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, convert each logarithmic equation to exponential form.
$4 = \ln (x)$