It is given that 2 ln(4x 5) ln(x 1) 3ln3 i Show that 16x3 24x 2 15x 2 0 ii By first using the factor theorem, factorise 16x 3 24x 2 15x 2 completely iii Hence solve the equation 2 ln(4x 5) In(x 1) 3In3 ...

i To begin we can simplify the lefthand side of the equation using the properties of logarithms 2ln4 ...

It is given that 2 ln(4x 5) + ln(x + 1) = 3ln3. i. Show that

Question:

It is given that 2 ln(4x − 5) + ln(x + 1) = 3ln3.

i. Show that 16x3 − 24x² − 15x − 2 = 0.
ii. By first using the factor theorem, factorise 16x³− 24x² − 15x − 2 completely.
iii. Hence solve the equation 2 ln(4x − 5) + In(x + 1) = 3In3.

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 14, 2023 07:16 AM

It is given that A(vector) B(vector) = ( 51.4 m) x, C(vector) = (62.2 m) x, and A(vector) + B(vector) + C(vector) = (13.8 m) x. Find the vectors A(vector) and B(vector).
It is given that f(x) = 4 + 8x - x 2 . a. Find the value of a and of b for which f(x) = a - (x + b) 2 and hence write down the coordinates of the stationary point of the curve y = f(x). b. On the...
It is given that x 2 + 5x + 6 and x 3 6x 2 + 11x + a have a common factor. Find the possible value of a.
Boeing Company was scheduled to deliver several of its 747-400 jumbo jetliners to Northwest Airlines by December 31, 1988. Northwest set that deadline because it needed the $16 million in investment...
Go to www.johnsonandjohnson.com and click on Background and then on Principal Global Operations. Identify the positioning strategies of the different companies.
If the price level recently increased by 20% in England while falling by 5% in the United States, by how much must the exchange rate change if PPP holds? Assume that the current exchange rate is 0.55...
As was pointed out on page 308 , two ways of increasing the size of a two-way classification experiment are (a) to double the number of blocks, (b) to replicate the entire experiment. Discuss and...
Overhead variances, service sector Meals on Wheels (MOW) operate a meal home-delivery service agreements with 20 restaurants to pick up and deliver meals to customers who phone or fax to MOW. MOW...
Laura mentions that employees will come back from tea break on time because they know it will let down their fellow work mates if they don't. Imagine an employee named David frequently does not...
a. Show that = 18 is a root of the equation sin3 = cos 2. b. Express sin3 and cos 2 in terms of sin. c. Hence show that sin18 is a root of the equation 4x 3 2x 2 3x + 1 = 0. d. Hence find the...
Solve each equation for 0 < x < 180. a. 2 tan(60 x) = tan x b. 2 tan(45 x) = 3tan x c. sin(x + 60) = 2 cos(x + 45) d. sin(x 45) = 2 cos(x + 60) e. tan(x + 45) = 6tan x f. cos(x + 225) = 2 sin(x ...
Identify the three components of the upper limit on misstatements. How is each component calculated?
There are a number of facilitators and inhibitors to communication introduced in 'Beyond the numbers: Professional Interviewing Techniques'. Do you think there are other facilitators and inhibitors...
Morning View Company's 2023 sales revenue was $250,000 and 2022 sales revenue was $230,000. Morning View's total assets as of December 31, 2023 were $140,000 and total assets as of January 1, 2023...
How to account for intangibles is perhaps one of the most troublesome and controversial issues in accounting." Discuss and evaluate the above statement, referring to relevant academic literature...
Name any four interactions in the tertiary structure of proteins.
Research legislation that has occurred within the last 5 years at the Texas or federal level as a result of nurse advocacy. Describe the legislation and what was accomplished. What additional steps...
What types of questions should Joe and Ian be asking at this point and who should they be talking to?
Swifty company is a publicly held corporation whose $1 par value stock is actively traded at $30 per share. The company issued 3400 shares of stock to acquire land recently advertised at $93000. When...
Set A consists of the ten digits 0, 0, 0, 0, 0, 0, 2, 2, 2, 4. Set B consists of the seven digits 0, 0, 0, 0, 2, 2, 2. One digit is chosen at random from each set. The random variable X is defined as...
Two students are randomly selected from a class of 12 girls and 18 boys. a. Find the expected number of girls and the expected number of boys. b. Write the ratio of the expected number of girls to...
In a game, a player attempts to hit a target by throwing three darts. With each throw, a player has a 30% chance of hitting the target. a. Draw up the probability distribution table for H, the number...
Programming Project - GrilleCoder (Polymorphic Cryptography) | Encryption and Decryption For the GridCoder we will represent grilles as a 2-dimensional boolean array, where true values represent hole...
please use JUnit test for switching player class and explain SwitchPlayer.class public class SwitchingPlayer extends Player { public SwitchingPlayer(List doors, GameshowHost monty) { super(doors,...
Can anyone fixing my code please? I try to math +,-,*,/ in Java GUI without pressing the "=" button. For example: when I press number "1" button (the text box had the number 1 ) then I press "+"...

It is given that 2 ln(4x 5) + ln(x + 1) = 3ln3. i. Show that

Question:

Step by Step Answer:

i To begin we can simplify the lefthand side of the equation using the properties of logarithms 2ln4...View the full answer

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

Students also viewed these Mathematics questions