Solving Equations with Exponents

Presentation

•

Mathematics

•

11th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 7 Questions

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.

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

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

Fill in the Blanks

Rewrite this using property of equality

$10^x=10^6$

Type answer...

Fill in the Blanks

Rewrite this using property of equality

$2^{2x}=2^4$

Type answer...

Solve 3^x+1=3⁵

Solve 6=6^2x-3

Multiple Choice

Solve $2^{2x}=2^6$

x=6

x=3

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.

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

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.

2.3 Solving Exponential Functions

by Christina Early

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