Solving Exponential Equations w/o Logarithms

 $Solve:\ \ \ 5^{x-2}=5^{-3x}$  

• x = 2

• x = 1

• x = 4

• x = 1/2

 $Solve:\ \ \ 3^{1-2x}=3^{-x}$  

• x = 4

• x = 1

• x = 1/2

• x = 2

 $Solve:\ \ \ 5^{-2x}\cdot5^{-2x}=5^{-3x-3}$  

• x = 3

• x = 4

• x = 2

• x = -5

 $Solve:\ \ \ 2^{-3n}\cdot2^{2n}=64$  

• n = 2

• n = -4

• n = 8

• n = -6

 $Solve:\ \ \ 81\cdot3^x=9$  

• x = 3

• x = -4

• x = -2

• x = 6

 $Solve:\ \ \ \frac{1}{7}=49^{x-5}\cdot7^{x-9}$  

• x = 4

• x = -2

• x = 6

• x = -3

 $Solve:\ \ \ 2^{w+4}\cdot2^{4w+6}=2^{2w+1}$  

• w = -3

• w = 4

• w = -2

• w = -6

 $Solve:\ \ \ \frac{1}{27}=3^{4m-1}$  

• m = -2

• m = 4/3

• m = -1/2

• m = 5

 $Solve:\ \ \ 9^{2x+4}\cdot9^{2x}=\frac{1}{81}$  

• x = 3

• x = 4

• x = -2

• x = -3/2

 $Solve:\ \ \ 36^{3x}=216$  

• x = 1/2

• x = 1

• x = 5

• x = -2