Chapter 5: Q 94. (page 299)

Solve the equation.
$\ln e^{- 2 x} = 8$

Short Answer

Expert verified

The solution to the equation, $\ln e^{- 2 x} = 8$ is, $x = - 4$ .

Step by step solution

Step 1. Given Information

The given equation to be solved is $\ln e^{- 2 x} = 8$ .

Step 2. Formula used

Rule of change from logarithm to exponents:

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

Step 3. Finding Solution

The given equation is $\ln e^{- 2 x} = 8$ .

Use rule of change from logarithm to exponents:

$\ln e^{- 2 x} = 8 e^{8} = e^{- 2 x} - 2 x = 8 x = - 4$

The solution to the given equationis, $x = - 4$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the equation.
$\ln e^{- 2 x} = 8$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formula used

Step 3. Finding Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Pure Maths

Discrete Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation.lne-2x=8

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formula used

Step 3. Finding Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Pure Maths

Discrete Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation.
$\ln e^{- 2 x} = 8$