SOLVING EXPONENTIAL EQUATIONS WITH DIFFERENT BASES WORKSHEET

Solve the equation. Check your solution.

Problem 1 :

(1/5)^x = 125

Solution

Problem 2 :

(1/4)^x = 256

Solution

Problem 3 :

1/128 = 2^{5x + 3}

Solution

Problem 4 :

3^{4x – 9} = 1/243

Solution

Problem 5 :

36^{-3x + 3} = (1/216)^{x + 1}

Solution

Problem 6 :

(1/27)^{4 - x} = 9^{2x - 1}

Solution

Problem 7 :

7^{x - 5} = 49^x

Solution

Problem 8 :

216^x = 6^{x + 10}

Solution

Problem 9 :

64^{2x + 4} = 16^5x

Solution

Problem 10 :

27^x = 9^{x - 2}

Solution