Solve the simultaneous equations a xy 81 b 4 x 2 y c log 4 (x y) 2log 4 x log 4 (x y 9) 0 d log 10 x 2log 10 y log 10 (2x 17y) 2 ...

a xy 81 b 4x 2y From equation b we have y 2x Substituting y in equation a we get x2x 81 2x2 81 x2 81 ...

Solve the simultaneous equations. a. xy = 81 b. 4 x = 2 y c. log 4

Question:

Solve the simultaneous equations.
a. xy = 81

b. 4^x = 2^y

c. log₄ (x - y) = 2log₄x

log₄ (x + y + 9) =0

d. log₁₀x = 2log₁₀y

log₁₀ (2x - 17y) = 2

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Mar 13, 2023 02:49 AM

See More Questions

Solve the simultaneous equations y = |x 5| and y = |8 x|.
Solve the simultaneous equations dx /dt + dy/dt 2y = 2 cos t 7 sin t dx/dt + dy/dt + 2x = 4 cos t 3 sin t
a. Solve the simultaneous equations ar = 12, ar 5 = 3072 (there are two possible answers). b. In each case, find the sum of the first ten terms of the geometric progression with first term a and...
In Fig. P2.72 gate AB is circular. Find the moment of the hydrostatic force on this gate about axis A. Neglect atmospheric pressure.
1. If Fickers client was harmed by the communication breakdown, then why did the Court find no violation here? 2. Because Mr. Williams, Fickers nonlawyer assistant, failed to relay a client message,...
Maximize 80x + 70y + 120z subject to the constraints Determine the dual problem of the given linear programming problem. 6x + 3y + 8z s 768 x+ y + 2z s 144 < 216 2x + 5y (xz0, yz 0, z2 0.
Unbalance is a fundamental cause of vibration in machinery. What frequency of interest identifies the unbalanced condition of a rotor?
The following transactions apply to Walnut Enterprises for 2016, its first year of operations: 1. Received $50,000 cash from the issue of a short-term note with a 6 percent interest rate and a...
The left, right, trapezoidal, and midpoint rule approximations were used to estimate same number of subintervals were used in each case. 2 y 1k y=fix) (a) Which rule produced which estimate? L un R n...
Given that log 8 y = log 8 (x - 2) - 2 log 8 x, express y in the terms of x.
The variables x and y satisfy the equation 5 2y = 3 2x+1 . By taking natural logarithms, show that the graph of ln y against ln x is a straight line, and find the exact value of the gradient of this...
Temperature readings T(in F ) were recorded every two hours from midnight to 2:00 pm in Atlanta on June 4, 2013. The time t was measured in hours from midnight. (a) Use the readings to sketch a rough...
Here we are investigating various ways of how we can use a CPA- secure scheme to build authenticated encryption. Assume Enck (m) : r||FK(r) m is a CPA-secure encryption scheme, and let Mack (m) := Fk...
1. (20 pt) NuBattery Inc. just developed a new battery for electric cars. Tesla has offered to buy the technology from NuBattery for $120m (after-tax). However, NuBattery wants to explore the...
QUESTION 1 (70 marks) The Lion Group of companies is listed on the JSE. They are a diverse group of companies situated all over Africa. The financial year-end of the Lion Group is 31 December. The...
Problem 5: Constitutional isomers are compounds that possess the same molecular formula but have different connectivity of various atoms. An abbreviated representation of an alcohol with the formula...
SMU Corp recently became public. Since SMU has only been a public company for a short while, you do not have an accurate assessment of SMU's equity beta (Be). Mustang Corp is an otherwise identical...
Refer to Figure. Determine the relations between c, c1, and c2 so that the damper shown in part (c) is equivalent to (a) the arrangement shown in part (a), and the arrangement shown in part (b). a....
In Problems 1522, find the principal needed now to get each amount; that is, find the present value. To get $750 after 2 years at 2.5% compounded quarterly.
The following table shows the maximum speeds, skm/h, of some vintage cars. a. On the same sheet of graph paper, construct a cumulative frequency polygon and a box-and whisker diagram to illustrate...
The following box plots summarise the percentage scores of a class of students in the three Mathematics tests they took this term. a. Describe the progress made by the class in Mathematics tests this...
The following stem-and-leaf diagram shows the marks out of 50 obtained by 15 students in a Science test. a. Find the range and interquartile range of the marks. b. Illustrate the data in a...
A 0.50-kg red cart is moving rightward with a speed of 60 cm/s when it collides with a 1.00-kg blue cart that is initially at rest. After the collision, the blue cart begins moving rightward with a...
The figure shows four current-carrying wires that are perpendicular to the page, where I = 1.8 A, I = 2.2 A, 13 = 3.6 A, and 14 = 4.2 A. Four Amprian loops are also shown. Find the current through...
At what velocity (in revolutions per minute) will the peak voltage of a generator be 490 V, if its 480 turn, 8.00 cm diameter coil rotates in a 0.250 T field? rpm +

Solve the simultaneous equations. a. xy = 81 b. 4 x = 2 y c. log 4

Question:

Step by Step Answer:

a xy 81 b 4x 2y From equation b we have y 2x Substituting y in equation a we get x2x 81 2x2 81 x2 81...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions