How do you solve for x in 4 to the x power equals 4 to the 2x plus 1 power?

Answer 1

4x = 42x+1

Take the logarithm of each side of the equation:

x log(4) = (2x+1) log(4)

Divide each side of the equation by log(4) :

x = 2x + 1

Subtract 'x' from each side:

x + 1 = 0

Subtract ' 1 ' from each side:

X = -1

Check it out:

4x = 42x+1

4(-1) = (?) 4(-2+1)

4(-1) = 4(-1) yay!