need help preparing for final exam .

Question

1.solve for x

a)4^x+2=64^x

b)(1/8)^2x+1 = 32 ^x-3

c) 3^5x =27^x-1

d)x^x-2=5^x

Answer 1

a)

4^x+2 = 64^x

(2²)^x+2 = (2⁷)^x

2^2x+4 = 2^7x

2x + 4 = 7x

4 = 5x

4/5 = x

 

Follow this method for the next two.

 

d) 

Roots are irrational and imaginary.