Solving Exponential Equations Learning Objective: To solve equations involving exponents. Warm-up...
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Transcript of Solving Exponential Equations Learning Objective: To solve equations involving exponents. Warm-up...
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 …