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

Question

Buchanan

Mathematics

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)

Know the Answer?

Kaydence Weiss · Answer 1

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