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MathematicsMathematics
25 September, 20:28

1. What is the solution of log4 (2x 6) = 2?

5

7

11

14

2. What is the solution, or what are the solutions, of 2log6 (x) = log6 (100) ?

10 only

-10 only

-10 and 10

no solution

3. What is the solution, or what are the solutions, of log9 (x^2) = log9 (25) ?

5 only

-5 only

-5 and 5

no solution

4. What is the solution of log3 (x + 7) + log3 (3) = 2?

-4

5

10

no solution

+2
Answers (1)
  1. 25 September, 20:38
    0
    1.

    log (4) (2 x - 6) = 2

    2 x - 6 = 4²

    2 x - 6 = 16

    2 x = 22

    x = 11

    Answer: C) 11

    2.

    2 log (6) x = log (6) 100

    log (6) x² = log (6) 100

    x² = 100, restriction x>0

    Answer: A) 10 only

    3.

    log (9) x² = log (9) 25

    x² = 25

    Answer: C) - 5 and 5

    4.

    log (3) (3 x + 21) = 2

    3 x + 21 = 3²

    3 x + 21 = 9

    3 x = - 12

    x = - 4

    Answer: A) - 4
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Home » Mathematics » 1. What is the solution of log4 (2x 6) = 2? 5 7 11 14 2. What is the solution, or what are the solutions, of 2log6 (x) = log6 (100) ? 10 only -10 only -10 and 10 no solution 3.
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