Prove the formula log a b log b a = 1 for all positive numbers a, b
Question:
Prove the formula loga b logb a = 1 for all positive numbers a, b with a ≠ 1 and b ≠ 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
loga b In b In a ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Two springs are attached to an object of mass, 11 kg on a horizontal frictionless surface. Springs constant of both springs is 650N/m. Object is pulled away from the point A, a distance x=8cm as seen...
-
By using a substitution, prove that for all positive numbers x and y, xy X 7dt = 7 dt.
-
Find: Median of the data. Classes Frequency Cumulative.
-
Suppose that in a particular area the consumption of water varies tremendously throughout the year, with average household summer use exceeding winter use by a great deal. What effect would this have...
-
AFW Industries has 200 million shares outstanding and expects earnings at the end of this year of $700 million. AFW plans to pay out 60% of its earnings in total, paying 40% as a dividend and using...
-
Paulson Company issues 6%, four-year bonds, on December 31, 2013, with a par value of $ 200,000 and semiannual interest payments. Use the following bond amortization table and prepare journal entries...
-
As a gambling facility, MGM Desert Inn, Inc., regularly holds and executes negotiable instruments. During a period of two months, patron William E. Shack Jr. entered MGM and delivered eight checks to...
-
Calculating acquisition costs of long-lived assets. Outback Steakhouse opened a new restaurant on the site of an existing building. It paid the owner $260,000 for the land and building, of which it...
-
A small business has a cost function C (z) = 722-217 +2,352 and a revenue function of R(x) 6. At the break-even points the values of in increasing order (smallest one first) are Number and Number
-
Let Prove that F(x) and cosh 1 x differ by a constant by showing that they have the same derivative. Then prove they are equal by evaluating both at x = 1. 25 F(x)=xx-1-2 2 - 1 dt
-
Develop an elegant approach to the exponential and logarithm functions. Define a function G for x > 0: This exercise proceeds as if we didnt know that G(x) = ln x and shows directly that G has all...
-
Sketch the graph of a continuous function on [0, 2] for which the right endpoint approximation with n = 2 is more accurate than Simpsons Rule.
-
Conduct a macro-environment analysis for MYER. (Australian company)You should use the the PESTLE framework. focus is placed on the understanding of the purpose of this analysis the identification of...
-
Sarah proposed to sell her diamond ring to lily for RM 1,200. Lily agreed to buy the diamond ring at a price RM 1,000. Sarah refused to accepts lily's price. lily then agreed to purchase at RM 1,200....
-
Identify and describe the purpose of the existing laws relevant the diamond industry, both at national and international levels, and explain what mechanisms Blue Nile Inc., should use to enforce...
-
Walter Levy and Henry Disharoon formed a partnership to purchase a jet and to operate a charter airline business. Disharoon located a jet and informed Levy that the price was $963,000. After Levy...
-
As the hospital administrator responsible for risk management, what is the proper way to handle a hospital employee who breached patient confidentiality by posting a selfie with an unconscious...
-
Milwaukee is 121 mi (air miles) due west of Grand Rapids. Maria drives 255 mi in 4.75 h from Grand Rapids to Milwaukee around Lake Michigan. Find (a) Her average driving speed (b) Her average travel...
-
d. The characteristic equation of a control system is given by s+2s+8s+12s+20s+16+16=0. Determine the number of the roots of the equation which lie on the imaginary axis of s-plane
-
According to Borjas (2003), immigration to the United States increased the labor supply of working men by 11.0% from 1980 to 2000, and reduced the wage of the average native worker by 3.2%. From...
-
Keeler et al. (2004) estimate that the U.S. Tobacco Settlement between major tobacco companies and 46 states caused the price of cigarettes to jump by 45 per pack (21%) and overall per capita...
-
In a commentary piece on the rising cost of health insurance ("Healthy, Wealthy, and Wise," Wall Street Journal, May 4, 2004, A20), economists John Cogan, Glenn Hubbard, and Daniel Kessler stated,...
-
In several well-written paragraphs, describe what it means for an Agile Team to be Self-Organizing and Cross-Functional. Please address the characteristics of being "Self-Organizing" and...
-
Given two integers that represent the miles to drive forward and the miles to drive in reverse as user inputs, create a SimpleCar object that performs the following operations: Drives input number of...
-
The report is informational, but the main argument you will be making about your passion or purpose is why it matters ... to you and to the greater public. Remember that our passions and purposes...
Study smarter with the SolutionInn App