19
QuizMultiple Choice

Mathematical Modeling: Part Two — Test

Question 19 • Mathematics III

What is the solution to the given equation? log sub 6 4 x squared minus the log base 6 of x is equal to 2

Answer
A
x is equal to 3
B
x is equal to 9
C
x is equal to 3 halves
D
x is equal to 1 over 12

Explanation

Since x must be positive, combine the logarithms using log₆(a) − log₆(b) = log₆(a/b): log₆(4x²) − log₆(x) = log₆(4x). Then log₆(4x) = 2 means 4x = 6² = 36, so x = 9. The correct choice is x equals 9.

AI-written and checked against the verified answer.

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