Add question where you could divide my the coefficient instead of making it the power

Algebra 2 Name

Solving Equations Notes Date: __________Per

Type I. Log on Both Sides

When solving logarithm equations with logs on both sides, your number one goal and thing to

keep in mind is to get only ONE log on each side of the equal sign.

Ex 1: 6 63log 7 log x Ex 2: 8 8 82log 12 log 6 log x

Ex 3: 5 5 5log 2 log log 20x Ex 4: 6 6 6log 3 log 3 2 log (3 6) x x

Type II. Log on One Side.

When solving logarithm equations with logs on only one side, you should change the equation to

exponential form.

Ex. 1 16log 2.5x Ex. 2 3 32log (x 4) log 9 2

Ex. 3 logx log(x 15) 2 Ex. 4 1

31

2

log (3x 1) 2

Solve for x using logarithm properties.

1. 27log 3 x 2. 164log 3x

3. 2log 2x 4. 54 2log x

5. 2

log 8x

6. 1255

log x

7. 3log 64 2x

8. 3 3 3log 2 log 7 log x

9. 5 5 5log 42 log 6 log k

10. 15 53log log 125m

11. 27 73log log 8n

12. 9 9 9log 3 14 log 5 log 2u u

13. 7 7 7 7log log -log 3 log 12x x

14. 2 116 16 2log (9 5) -log ( -1)x x

15. 8 8log ( -3) log ( 4) 1n n

16. 1 1 13 2 23 3 3log log 25 log 625x

17. log 3 log 1 log 3 3b b bx x x 18. 25 5log 6 3 log 4 1 0x x

19.

21.

3log 3 log loga a ay y

2 2 2

log 2 log 5 log 3x x

20.

22.

5 5 5

log 3 2 log 3 log 2x x

7 7 7

log 6 2log log (x 12)x