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Chapter 5: Q 93. (page 299)

Solve the equation.
$\ln e^{x} = 5$

Short Answer

Expert verified

The solution to the equation, $\ln e^{x} = 5$ is, $x = 5$ .

Step by step solution

01

Step 1. Given Information

The given equation to be solved is $\ln e^{x} = 5$ .

02

Step 2. Formula used

Rule of change from logarithm to exponents:

$\ln b = y \Rightarrow e^{y} = b$

03

Step 3. Finding Solution

The given equation is $\ln e^{x} = 5$ .

Use rule of change from logarithm to exponents:

$\ln e^{x} = 5 e^{5} = e^{x} x = 5$

The solution to the given equationis, $x = 5$ .

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Most popular questions from this chapter

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

Solve:

$x^{2} + 3 x = 4$ x

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

To graph ${(x - 2)}^{3}$ , shift the graph of $y = x^{3}$ to the left $2$ units.

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

If $5^{- x} = 3$ , what does $5^{3 x}$ equal?

Solve the equation. Verify your results using a graphing utility.

$7^{x} = 7^{3}$

See all solutions

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