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QuizMultiple Choice

Solving Logarithmic Equations Using Technology — Quiz

Question 2 • Mathematics III

Which system of equations could be graphed to solve the equation? the log of open paren 2 x plus 1 close paren is equal to 3 x minus 2

Answer
A
y sub 1 is equal to 3 x , y sub 2 is equal to 2 x
B
y sub 1 is equal to the log of open paren 2 x plus 1 plus 2 close paren , y sub 2 is equal to 3 x
C
y sub 1 is equal to the log of open paren 2 x plus 1 close paren , y sub 2 is equal to 3 x minus 2
D
y sub 1 is equal to log 2 plus 1 , y sub 2 is equal to 3 x minus 2

Explanation

To solve an equation by graphing, graph each side as a separate function and find where the graphs intersect. Here, the left side is y₁ = log(2x + 1), and the right side is y₂ = 3x − 2. Choice C gives exactly that system; the x-coordinate of an intersection solves the equation.

AI-written and checked against the verified answer.

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