/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 102. Solve the equation.聽e-2x+1=13... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 102. (page 299)

Solve the equation.

e-2x+1=13

Short Answer

Expert verified

The solution to the equation, e-2x+1=13is, x=12(1-ln13).

Step by step solution

01

Step 1. Given Information

The given equation to be solved is e-2x+1=13.

02

Step 2. Formula used

Natural logarithm:

lne=1

03

Step 3. Finding Solution

The given equation is e-2x+1=13.

Take logarithm on both sides.
lne-2x+1=ln13(-2x+1)lne=ln13-2x+1=ln13-2x=ln13-1x=12(1-ln13)

The solution to the given equationis,x=12(1-ln13).

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x-3x+4

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=7-3e2x

Iffx=ax, show thatfx+h-fxh=ax.ah-1hh鈮�0.

Do you think that there is a power function that increases

more rapidly than an exponential function whose base is greater than 1 ? Explain.

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=e-x
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.