Solving Exponential EquationsLearning Objective: To solve equations involving exponents.

Warm-up (IN)

Notes

Learning Objective: To solve equations involving exponents.

EX 1 – Solve each equation

1

3a. 12x

When the exponent is a #, raise both sides of the equation to the reciprocal 3

3

x 3

1

12

x 1

1728

3

2b. 2 8y

2

3

2

3

2y 23 8

2y 22

2y 1

4

y 1

8

Learning Objective: To solve equations involving exponents.

5

3c. 2 5 32x

3

5

3

5

2 5x 8

2x 3

x 3

2

EX 2 – Solve each equation

a. 2 4x

When the exponent has a variable, change to same bases, then set the exponents equal to each other and solve

2x 22

2x

b. 2 8x 2x 32

3x

Learning Objective: To solve equations involving exponents.

c. 36 216x

26x 36

26 x 36

2 3x 3

2x

d. 5 125x 1

25 125x

5x 1

3 25

5x 3

25

3

2x

Learning Objective: To solve equations involving exponents.

2e. 7 49x

27x 27

2 2x 0x

HW –

Out – Write a real world problem where you would have to solve for the exponent.

Summary – Now I get how to …