f(x) = log2(x + 3) and g (x) = log2(3x + 1). (a) Solve f(x) = 3. What point is on the graph of f? (b) Solve g(x) = 4. What point is on the graph of g? (c) Solve f(x) = g(x). Do the graphs of f and g intersect? If so, where? (d) Solve (f + g)(x) = 7. (e) Solve (f – g)(x) = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 45E
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f(x) = log2(x + 3) and g (x) = log2(3x + 1).
(a) Solve f(x) = 3. What point is on the graph of f?
(b) Solve g(x) = 4. What point is on the graph of g?
(c) Solve f(x) = g(x). Do the graphs of f and g intersect?
If so, where?
(d) Solve (f + g)(x) = 7.
(e) Solve (f – g)(x) = 2.
Transcribed Image Text:f(x) = log2(x + 3) and g (x) = log2(3x + 1). (a) Solve f(x) = 3. What point is on the graph of f? (b) Solve g(x) = 4. What point is on the graph of g? (c) Solve f(x) = g(x). Do the graphs of f and g intersect? If so, where? (d) Solve (f + g)(x) = 7. (e) Solve (f – g)(x) = 2.
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