The variables x and y satisfy the relation 2 = 31-2x. (a) By taking logarithms, show that the graph of y against x is a straight line. State the exact valuc of the gradient of this line. (b) Find the exact x-coordinate of the point of intersection of this line with the line y = 3x. Give your In a where a and b are integers. Inb' answer in the form
The variables x and y satisfy the relation 2 = 31-2x. (a) By taking logarithms, show that the graph of y against x is a straight line. State the exact valuc of the gradient of this line. (b) Find the exact x-coordinate of the point of intersection of this line with the line y = 3x. Give your In a where a and b are integers. Inb' answer in the form
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
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![3
The variables x and y satisfy the relation 2" = 31-2x.
(a) By taking logarithms, show that the graph of y against x is a straight line. State the exact value
of the gradient of this line.
(b) Find the exact x-coordinate of the point of intersection of this line with the line y = 3x. Give your
In a
where a and b are integers.
In b'
answer in the form](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F345e25bf-147f-43da-8625-b6b17172b115%2F4ec12411-1f6f-422f-8c02-271d02e73074%2Frhc3du_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3
The variables x and y satisfy the relation 2" = 31-2x.
(a) By taking logarithms, show that the graph of y against x is a straight line. State the exact value
of the gradient of this line.
(b) Find the exact x-coordinate of the point of intersection of this line with the line y = 3x. Give your
In a
where a and b are integers.
In b'
answer in the form
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