Prove: log a x r = r log a x.

Question:

Prove: log_a x^r = r log_a x.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Dec 29, 2022 02:23 AM

See More Questions

Prove that given x R there is a sequence rn Q such that rn x as n .
Given that loga x = 2, loga y = 3, and loga z = 4, find loga (4(y2z5) / 4(x3z-2).
Express as a single logarithm: 2 loga x - loga y + loga z
Consider a spherical fluid particle in an inviscid fluid (no shear stresses). If pressure and gravitational forces are the only forces acting on the particle, can they cause the particle to rotate?...
Suppose X is b(n, Î¸) and Î¸ is beta(Î±, Î²). Show that the marginal pdf of X (the compound distribution) is For x = 0, 1, 2, . . . , n. n! 1"(+ ) (x+)...
If the ratio of net income to sales for a restaurant is 5 percent, the predicted ratio of cash flow from operations (CFO) to sales is closest to: A. 4.054. B. 0.524. C. 4.207. Kenneth McCoin, CFA, is...
Counting the unemployed? We could measure the extent of unemployment by a count (the number of people who are unemployed) or by giving a rate (the percentage of the labor force that is unemployed)....
Castile Inc. had a beginning balance of $4,000 in its Accounts Receivable account. The ending balance of Accounts Receivable was $4,500. During the period, Castile recognized $68,000 of revenue on...
You bought one of Great White Shark Repellant Companys 8 percent coupon bonds one year ago for $810. These bonds make annual payments and mature 14 years from now. Suppose you decide to sell your...
An apparatus for measuring thermal conductivity employs an electrical heater sandwiched between two identical samples of diameter 30 mm and length 60 mm, which are pressed between plates maintained...
Solve each equation. If necessary, round each answer to the nearest thousandth. log k 64 = 6
Solve each equation. If necessary, round each answer to the nearest thousandth. 1 + 2p 5 2 = 3
In Problems 17 through 25, the eigenvalues of the coefficient matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. x = 5x1-6x3, x =...
2. (40 marks) Solve for y(t) such that y" - 6y' + 15y = 2 sin(3t),
6. Determine output class A{ ); } public static void main(String args[]) { int x; x = 10; if (x == 10) { int y = 20; System.out.print ("x and y: y = x*2; + y); } y = 100; } System.out.print ("x and...
Anita and Bonita have been roommates for the past two years while they've been in graduate school. Now that they're graduating, they are each planning to move to different cities. Their one joint...
To what extent are business ethics assumed, or taken for granted, by people in businesses?
Empowered by what he has learned in this class about gender, Brady makes a friendly wager with his girfriend, Marlisa: "I bet I can guess how the men and women at the next table will behave during...
A clothes dryer uses 5500 W of power when connected to a 220-V ac line. How much current does the dryer draw from the line?
Assume a simple Keynesian depression economy with a multiplier of 4 and an initial equilibrium income of $3,000. Saving and investment equal $400, and assume full employment income is $4,000. a. What...
Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. x + 1 f(x) x + 9
Several graphs of the quadratic function (x) = ax 2 + bx + c are shown below. For the given restrictions on a, b, and c, select the corresponding graph from choices AF. a > 0; b 2 - 4ac > 0 A. B. C. ...
Graph each polynomial function. Factor first if the polynomial is not in factored form. (x) = 3x 4 - 7x 3 - 6x 2 + 12x + 8
Jenny wanted to donate to her alma mater to set up a fund for student scholarships. If she would like to fund an annual scholarship in the amount of $6,000 and her donation can earn 5% interest per...
You would like to have a balance of $600,000 at the end of 15 years from monthly savings of $900. If your returns are compounded monthly, what is the APR you need to meet your goal?
Explain the importance of covariance and correlation between assets and understanding the expected value, variance, and standard deviation of a random variable and of returns on a portfolio.

Prove: log a x r = r log a x.

Question:

Step by Step Answer:

Let m log a x r and n log a ...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions