SOLVING LOGARITMIC FUNCTION WITH BASE WORKSHEET

Find the value of y.

1)  log5 25 = y

2)  log31 = y

3)  log16 4 = y

4)  log2 (1/8) = y

5)  log51 = y

6)  log2 8 = y

7)  log7 (1/7) = y

8)  log3 (1/9) = y

9)  logy 32 = 5

10)  log9 y = -1/2

11)  log4 (1/8) = y

12)  log9 (1/81) = y

Solution

Answer Key

1)  y = 2

2)  y = 0

3)  y = 1/2

4)  y = -3

5)  y = 0

6)  y = 3

7)  y = -1

8)  y = -2

9)  y = 2

10)  y = 1/3

11)  y = -3/2

12)  y = -2

Problem 1 :

log3 + logx = log32

Solution

Problem 2 :

2 log6 4x = 0

Solution

Problem 3 :

logx + log2 (x - 3) = 2

Solution

Problem 4 :

log(x + 5) - log2 (x - 2) = 3

Solution

Problem 5 :

4 ln (2x + 3) = 11

Solution

Problem 6 :

log x - log 6 = 2 log 4

Solution

Problem 7 :

log 2x = 1.5

Solution

Problem 8 :

log2x = -0.65

Solution

Problem 9 :

1/3 log2 x + 5 = 7

Solution

Problem 10 :

4 log(x + 1) = 4.8

Solution

Problem 11 :

log2 x + log2 3 = 3

Solution

Problem 12 :

2 log4 x - log(x - 1) = 1

Solution

Answer Key

1)  x = 32/3

2)  x = 1/4

3)  x = 4

4)  x = 3

5)  x = 6.321

6)  x = 96

7)  x = 15.81

8)  x = 0.32

9)  x = 26

10)  x = 5.90

11)  x = 8/3

12)  x = 2

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