solving exponential inequalities. warm up solve the following:
TRANSCRIPT
Solving Exponential Inequalities
Warm Up
Solve the following:
3 3 92 2x 3 14 8x x
31
42
xx
Solve by equating exponents
3 3 92 2x 3 3 9x
4x
Solve by equating exponents
3 14 8x x Since they do NOT have the same bases…we have to rewrite so they have common
bases.
Common base = 2
3 12 32 2x x6 3 32 2x x
6 3 3x x
1x Check →
3 1 1 14 8
64 64
Distribute!
Solve by equating exponents3
14
2
xx
Common base = 2
32 12 2x x2 32 2x x
2 3x x
1x
Check →
1 31
2
2
14
2
14
2
4 2
4 4
How can we make ½ a base of 2?
Negative exponents!!!
Distribute!
Solve by equating exponents
2 18 2x x Inequality!!!
Works the same way as exponents
Common base = 2
3 2 12 2x x3 2 12 2x x
3 2 1x x 1x
Distribute!
Solve by equating exponents11
5 2 136
6
xx
Common base = 6
5 2 112 16 6x x 10 4 116 6x x
10 4 11x x 5
3x
Distribute!
Your turn!2 5 34 64x x
5
7x
Class work
Page 131 #10-15
Homework
Page 131 #10-15