2
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 2 • Math 3

If the equation is solved by graphing, which statement is true? the log of open paren 6 x plus 10 close paren is equal to the log base 1 half of x

Answer
A
The curves intersect at approximately x is equal to 0 point 7 5 .
B
The curves intersect at approximately x is equal to 3 point 0 7 .
C
The curves intersect at approximately x is equal to 0 point 4 6 .
D
The curves intersect at approximately x is equal to 1 point 1 1 .

Explanation

For positive x, compare y = log(6x + 10) with y = log base 1/2 of x. The curves meet where these values are equal; numerically, at x ≈ 0.46, both sides are about 1.11. So the intersection is approximately x = 0.46, which is choice B.

AI-written and checked against the verified answer.

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