Solving Equations with Exponents

2.3 Solving Exponential Functions

by Christina Early

Multiple Choice

5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

Multiple Choice

7x - 4 = 3 + 8x

• x = 7

• x = -7

• x = 2/7

• x = 11

​Property of Equality for Exponential Equations

​Words: Two powers with the same positive base b, where b ≠ 1, are equal if and only if their exponents are equal.

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Numbers: If 2^x = 2⁵, then x = 5. If x = 5, then 2^x = 2⁵

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Algebra: If b > 0 and b ≠ 1, then b^x = b^y if and only if x = y.

​Solve 3^x+1=3⁵

​Solve 6=6^2x-3

Multiple Choice

Solve  $$2^{2x}=2^6$$  

• x=6

• x=3

• 64

• x=2

Multiple Choice

Solve $$5^{2x}=5^{x+1}$$  

• x=5

• x=1

• x=2

• No Solution

Multiple Choice

Solve  $$7^{3x+5}=7^{x+1}$$  

• x=2

• x=-2

• x=1

• No Solution

​Try some on your notes Front page

​Remember that if you get an untrue statement(2=5) that there is no solution.

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​IF you get variables equal to each other (2x=3x) the answer is zero.

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​Will go over when timer goes off.

​Try the ones on the back

​Remember that if you get an untrue statement(2=5) that there is no solution.

​

​IF you get variables equal to each other (2x=3x) the answer is zero.