Solving Exponential Equations (lacking a common base)

4^x-5=8

x = 6 1/2 or 6.5

Step-by-step explanation:

4^x-5 = 8

2^2 (x-5) = 2^3

since the base is equal, the powers are equal

2 (x-5) = 3

2x - 10 = 3

2x = 3 + 10

2x = 13

2x/2 = 13/2

x = 6 1/2 or 6.5