Question 48
LogarithmsSolve the given equation (log3x)2 − 6log3x + 9 = 0.
- A.27
- B.9
- C.1/27
- D.18
- E.81.
Show the answer and explanation
Answer: A (27)
Explanation
Put y = log₃x: y² − 6y + 9 = (y − 3)² = 0, so log₃x = 3 and x = 27.
Solve the given equation (log3x)2 − 6log3x + 9 = 0.
Answer: A (27)
Put y = log₃x: y² − 6y + 9 = (y − 3)² = 0, so log₃x = 3 and x = 27.