Soliving Exponential Equation

On Tuesday we learned about Solving Exponential Equation:

Exponential rules :

am an = am+n

am/an = a m-n

(am)n = amn

1/am = a -m

a0 =1

Steps :

1. Make the bases on each side equal

2. Cancel same bases

3. Solve the remaining exponent equation

Examples:

3-3k = 9

3-3k = 32

-3k = 2

k = - 2/3

5 3-2x X 5 3x-3 = 25

5 3-2x X 5 3x-3 = 5 2

3-2x + 3x-3 = 2

x =2

27 2n = 81 n-3

27 2n = 81 n-3

3 3(2n) = 3 4 ( n-3)

6n = 4n -12

2n = -12

n= -6