Given that log a x = 5 and log a y = 8, find a. log a

Question:

Given that log_a x = 5 and log_a y = 8, find

a. log_a (1/y)

b. log_a (√x/y)

c. log_a (xy)

d. log_a (x²y³).

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 25, 2021 01:41 AM

See More Questions

Given that loga x = 2, loga y = 3, and loga z = 4, find loga (4(y2z5) / 4(x3z-2).
Given that loga 2 = 0.301, loga 5 = 0.699, and loga 6 = 0.778, find each of the following. a. loga 3 b. loga 50
Given that loga 2 0.301, loga 7 0.845, and loga 11 1.041, find each of the following, if possible. Round the answer to the nearest thousandth a. loga 2/11 b. loga 14 c. loga 98 d. loga 1/7
In Exercises approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare these results with the approximation of the integral using a graphing utility. 3.1 J3...
Why do medicines frequently taste bitter?
Bradley Baker was hired by Home Depot in March of 2001 as a full-time sales associate in the floor and wall department of Home Depot's store in Auburn, Massachusetts. Baker worked a flexible schedule...
Two small, irregularly shaped conducting objects, one carrying charge $+q$ and one carrying charge $-q$, are placed on an $x$ axis at $x=-4.0 \mathrm{~m}$ and $x=+4.0 \mathrm{~m}$,...
On January 1, 2012, Carlton Myers established Vista Realty. Carlton completed the following transactions during the month of January:a. Opened a business bank account with a deposit of $25,000 in...
n 1 1. lim tantan is equal to 004-1 1+r+r2 2. 3. If the least and the largest real values of a, for which the equation z + a |2-1+21=0(z=C and i=1) has a solution, are p and q respectively, then 4(p...
The company is considering the introduction of a new product that is expected to reach sales of $10 million in its first full year and $13 million of sales in the second and third years. Thereafter,...
a. Express log x 3 in terms of a logarithm to base 3. b. Using your answer of part a, and the substitution u = log 3 x, solve the equation log 3 x = 3 2log x 3.
Using the substitution u = 5 x , or otherwise, solve 5 2x+1 = 7 (5 x ) 2.
For students who enjoy the complexities of analytical syllogistics, here follow some theoretical questions whose answers can all be derived from the systematic application of the six rules of the...
Consider the following functions. f(-3)=10 and g(-3)=1 tep 1. Find (f+g)(-3)
In an exhaust fan, a set of gears is used to reduce the speed from a motor to the fan system (see Figure 1.1). The 20-tooth pinion gear on the motor has a diametral pitch of 5 and rotates at 1150 rpm...
Zack and Leah live in a community property state. Zack owns a policy on his life, the proceeds of which were paid to his daughter from a prior marriage. Zack and Leah used community funds to purchase...
Marc, age 67, is a single taxpayer. In 2023, he received $200,000 of interest income from an investment in city of Houston bonds and $20,000 of social security benefits. He also incurred $14,500 of...
On August 15, Year 1, Dryco Corp., a calendar-year S corporation, acquired 100% of the stock of an active C corporation. As a result of the acquisition, as of what date will Dryco's S election...
Write down the transpose of the following matrices: (a) (b) (c) (d) (e) (1 2 -3) (f) (g) 2 0 2 0 2 246 135 125 101
Chicago Company sold merchandise to a customer for $1,500 cash in a state with a 6% sales tax rate. The total amount of cash collected from the customer was $558. $600. $642. $636. Nevada Company...
A curve has equation y = sin 2x/e 2x for 0 < x < /2. Find the exact value for the x-coordinate of the stationary point of this curve.
The curve with equation 6e 2x + ke y + e 2y = c, where k and c are constants, passes through the point P with coordinates (ln3, ln 2). i. Show that 58 + 2k = c. ii. Given also that the gradient of...
By writing 2 as e In 2 , prove that d/dx(2x) = 2 x In2.
What are some special circumstances that might help with a scholarship selection?
why is a sense of direction and ethical values important for a learning / coaching organization.
Nanonisa is a purchasing manager at Changloon Photocopy Company. She usually orders A 4 papers in boxes of 5 0 0 sheets from a paper supplier. The company uses 1 5 0 , 0 0 0 sheets in first six...

Given that log a x = 5 and log a y = 8, find a. log a

Question:

Step by Step Answer:

a loga 1y loga 1 loga y loga 1 8 8 b loga xy l...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions