Exponential Equations

Same Base

100

5^x+6 = 5¹⁷

x = 11

200

10^{3x -8} = 10¹

x = 3

300

3^{-8x + 18} = 3^{x - 13}

x = -3.875

400

12^{x - 11} = 12^{9x - 23}

x = 1.5

500

18 ^{4x - 3} = 18^{7x - 19}

x = 5.33

Change 1 Base

100

10^{x + 6} = 100

x = -4

200

3^7x-2 = 243

x = 1

300

12^9x-10 = 1,728

x = 1.44

400

4^{14x - 2} = 4,096^{3x+ 8}

x = 12.5

500

2^{x + 23} = 512^{4x - 12}

x = -3.74

Negatives

100

2^{x+ 11} = (1/2)

x = -12

200

5^{2x + 13} = (1/25)^{x + 2}

x = -4.25

300

10^{4x + 4} = (1/100)^{6x + 29}

x = -3.875

400

6^{5x - 11} = (1/1,296)

x = 1.4

500

12^{17x + 24} = (1/144)^{x+ 19}

x = 3.26

Zero

100

4^x = 1

x = 0

200

3^{x + 17} = 1

x = - 17

300

2^{18x + 6} = 1

x = -0.33

400

5^{7x + 15} = 1

x = -2.14

500

9^{12x + 7} = 1

x = -0.58

MISC.

100

Goofy's son

Who is Max

200

Team that LeBron plays for

What is the Cavaliers

300

The prom king this year

Who is Roman

400

The most "broken" Pokemon in the game

What is Mega Rayquaza

500

Mr. Shwartz 's birthday

When is February 4th