Question
Solve the given equation (log3x)2−6(log3x)+9=0
A. 27
B. 9
C. 127
D. 18
E. 81
A. 27
B. 9
C. 127
D. 18
E. 81
Answers
GPT 3.5
Let's simplify the equation:
Let's use substitution, let y = log3x.
The equation becomes y^2 - 6y + 9 = 0.
This is a quadratic equation that can be factored as (y - 3)^2 = 0.
This implies y - 3 = 0, so y = 3.
Substituting back, log3x = 3.
3^3 = x.
x = 27.
Therefore, the answer is A. 27.
Let's use substitution, let y = log3x.
The equation becomes y^2 - 6y + 9 = 0.
This is a quadratic equation that can be factored as (y - 3)^2 = 0.
This implies y - 3 = 0, so y = 3.
Substituting back, log3x = 3.
3^3 = x.
x = 27.
Therefore, the answer is A. 27.