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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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
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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