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How do you solve for x in 4 to the x power equals 4 to the 2x plus 1 power?
Updated: 12/22/2022
LaurynCarver
Lvl 1
∙ 12y agoBest Answer
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!
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