QUESTION FOUR a Given that 21nx+1n3=In(5x+2). form px²+x+r=0 stating the values of p. q and r b. Hence, show that 21nx +In3 = ln (5x+2) has only one valid solution. c. Given f(x) = 2x² + 6x +3₂ į Use first principles to find f (x) ii. Hence find f(3) Show that it can be written in the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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QUESTION FOUR
a. Given that 21nx+1n3 = ln(5x+2). Show that it can be written in the
form px²+x+r=0 stating the values of p, q and r
b. Hence, show that 21nx+1n3 = ln (5x+2) has only one valid solution.
c. Given f(x) = 2x² + 6x +3,
į. Use first principles to find f'(x)
ii. Hence find f(3)
Transcribed Image Text:QUESTION FOUR a. Given that 21nx+1n3 = ln(5x+2). Show that it can be written in the form px²+x+r=0 stating the values of p, q and r b. Hence, show that 21nx+1n3 = ln (5x+2) has only one valid solution. c. Given f(x) = 2x² + 6x +3, į. Use first principles to find f'(x) ii. Hence find f(3)
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