Question: Starting with the equation e x 1 e x 2 = e x 1 +x 2 , derived in the text, show that e -x

Starting with the equation e^x_¹e^x_² = e^x₁+x_², derived in the text, show that e^-x = 1/e^x for any real number x. Then show that e^x_¹/e^x_² = e^x₁-x_² for any numbers x₁ and x₂.

Step by Step Solution

★★★★★

3.33 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Sure Lets start with the given equation ex1ex2 ex1x2 1 Now we can use the property of exponents that ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Outline the steps in the audit process from pre-engagement procedures to reporting.

Show that y = x2 + C is a solution of the differential equation dy/dx = x/y for any real number C. Find the particular solution that passes through (-6,7).

For Problems, verify that the given functions y1 and y2 are solutions of the given differential equation, then show that c1 y1 (t) + c2 y2 (t) is also a solution for any real number c1 and c2. a. y ...

A nonnegative random variable X has moments which are known to be E [X] = 1 , E [X2] = 2 , E [X3] = 5 , E [X4] = 9 , E [X5] = 14 , E [X6] = 33. (a) Show that for any nonnegative random variable, (a)...

Preview File Edit View Go Tools Window Help 87% Thu 1:36 PM Q E . . . Scannable Document on Oct 22, 2020 at 11_43_00 AM.pdf (page 3 of 5) (2,7 L V Q Search Clear X TH Note: Detailed derivation steps...

Numerical Methods (MATH 254) Assignment -2 Sunday, April 03, 2016 1. Solve the following initial value problem using the modified Euler method With h = 0.1 for x [0, 0.3]. y ' = y + x , y (0)=1 ....

Description: On this assignment, you need to program a robot that has been dropped into a grid of square rooms. Each wall of each room has been painted a different color: the North wall is Neon, the...

College Algebra MATH 107 Spring, 2017, V4.8 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a...

Math 009 Midterm Exam Fall 2016 Professor: Dr. Kate Bauer Name________________________________ Instructions: The exam is worth 60 points. There are 12 problems, each worth 5 points. Your score on the...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

1 David is an unsecured creditor of Tom for $10,000. Two other creditors have claims of $3,000 each. Can any of the three creditors force Tom into involuntary bankruptcy? Explain 2 Barwell, Inc.,...

Determine George and Mary's taxable income for 2013 if George has $65,000 of salary income and Mary has $45,000 of salary income and they file a joint tax return. They have two dependent children and...

14.24 High-tech companies and stock options. Refer to Exercises 14.21 to 14.23. Repeat the calculations assuming that you have twice as many observations with the same proportions. In other words,...

=+a random sample of 978 adults. Each individual in the sample was asked whether he or she agreed with the following statement: Sometimes it is necessary to discipline a child with a good, hard...

Sketch the region enclosed by the given curves and find its area. y = cos x, y = 1 - cos x, 0

Sketch the region enclosed by the given curves and find its area. y = sinh x, y = e -x , x = 0, x = 2

Sketch the region enclosed by the given curves and find its area. > 0 , 3 1/, +,

PAGE 2 OF 2 Arrangon's manufacturing process is highly automated, but also requires highly skilled labour. Employees are paid at an average rate of $ 3 2 . 5 0 per hour. This rate already includes...

Matthew, Inc. owns 30 percent of the outstanding stock of Lindman Company and has the ability to significantly influence the investees operations and decision making. On January 1, 2018, the balance...

Places type it Instructions Identify the currencies of the top three trading partners of your country in the last ten years. Find the exchange rates of these currencies, relative to your country's...