Use the integral definition of the natural logarithm to prove that ln (x/y) = ln x -

Question:

Use the integral definition of the natural logarithm to prove that ln (x/y) = ln x - ln y.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Apr 06, 2019 11:32 AM

See More Questions

(a) What is the natural logarithm? (b) What is the common logarithm? (c) Sketch the graphs of the natural logarithm function and the natural exponential function with a common set of axes.
Write the following logarithms in terms of the natural logarithm. Then use a calculator to find the value of the logarithm, rounding your result to four decimal places. log 2 15
The natural logarithm of 1 + x is represented by the series Use the identity to find a series to represent 1/(1 + x). x2 In (1+ x) = x x3 3 4 (valid for x? < 1 and x = 1).
Multiple Choice 1. Which of the following concepts are pervasive in the application of generally accepted auditing standards, particularly the standards of field work and reporting? a. Internal...
At the start of 2015, Textile Express Company determined its standard labor cost to be 2.25 hours per unit at $12.00 per hour. The budget for variable overhead was $9 per unit, and budgeted fixed...
Caroline is at a stores checkout counter. Shed like to pay for her purchase using either her credit card or her debit card, but preferably her credit card. However, she is not sure whether the store...
In the same situation what aspects of local action influence global thinking?? LO1
Overview The milestone for Project One involves applying accounting principles and methods to long-term liabilities and equity. You will also evaluate these financial statement components for...
A food manufacturer reports the following for two of its divisions for a recent year. ($millions) Invested assets, beginning Invested assets, ending Sales Operating income Beverage Division $ 3,100...
Cash: Substantive Audit Procedures on Bank Reconciliation: The following auditee-prepared bank reconciliation is being examined by you during an audit of the financial statements of Cynthia Company:...
Determine whether the following statements are true and give an explanation or counterexample. Assume x > 0 and y > 0. a. ln xy = ln x + ln y. b. ln 0 = 1. c. ln (x + y) = ln x + ln y. d. 2 x = e 2...
Use a calculator to approximate the following limits. Confirm your result with lHpitals Rule. /h lim (1 + 2h)' h0
A financial institution has entered into an interest rate swap with company X. Under the terms of the swap, it receives 10% per annum and pays six-month LIBOR on a principal of $10 million for five...
A project requires a $802,000 Initial Investment for equipment. The equipment is estimated to have an eight-year life and a salvage value of $42,000. The project is expected to generate income of...
A product has the following costs: $ Per Unit Variable production costs 9.60 Total production costs 15.00 Total variable cost 11.80 Total cost 20.00 22,800 units of the product were manufactured in a...
Suppose that Boeing Corporation exported a Boeing 747 to Lufthansa and billed 20 million payable in one year. One-year interest rates are 2% in the United States and 4% in the euro zone. The spot...
6. [0/1 Points] DETAILS MY NOTES Find the derivative. f'(x) = f(x) = x9.3x symbolic formatting help
1) Explain the following paragraph in your own words. "A nation which has can produce at a lower cost when measured in terms of opportunity cost is said to have a comparative advantage. Even though...
The following is the adjusted trial balance data for Ninos Pizzeria as of December 31, 2019. A. Use the data provided to compute net sales for 2019. B. Compute the gross margin for 2019. C. Compute...
Does log 81 (2401) = log 3 (7)? Verify the claim algebraically.
Find the slope of the tangent line to the given curve at the point corresponding to the specified value of the parameter. x = t 3 + 6t + 1, y = 2t t 2 ; t = 1
The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. How long does it take to complete one revolution? Is the motion clockwise or...
Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. x 2 y 2 + 2y = 2
September 1 . Purchased a new truck for $ 8 3 , 0 0 0 , paying cash. September 4 . Sold the truck purchased January 9 , Year 2 , for $ 5 3 , 6 0 0 . ( Record depreciation to date for Year 3 for the...
Find the NPV for the following project if the firm's WACC is 8%. Make sure to include the negative in your answer if you calculate a negative. it DOES matter for NPV answers
What is the value of a 10-year, $1,000 par value bond with a 12% annual coupon if its required return is 11%?

Use the integral definition of the natural logarithm to prove that ln (x/y) = ln x -

Question:

Step by Step Answer:

Inxy 12 dt dt 51dt For the second integral let u xt so ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions