SOLVING EXPONENTIAL EQUATION WITH LOGARITHMS WORKSHEET

Solve the following equations.

Problem 1 :

3^x - 2 = 12

Solution

Problem 2 :

3^1-x = 2

Solution

Problem 3 :

4^x = 5^x+1

Solution

Problem 4 :

6^1-x = 10^x

Solution

Problem 5 :

3^2x+1 = 2^x-2

Solution

Problem 6 :

10/(1+ e^-x) = 2

Solution

Problem 7 :

5^2x - 5^x - 12 = 0

Solution

Problem 8 :

e^2x - 2e^x = 15

Solution

Answer Key

1) x = 2.402

2) x = 0.3691

3) x = -7.213

4) x = 0.438

5) x = -1.652

6) x = -ln4

7) x = log₅ 4

8) x = ln 5

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) log_y 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

SOLVING EXPONENTIAL EQUATION WITH LOGARITHMS WORKSHEET

Answer Key

Answer Key

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