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solve for x
log4 (x - 1) + log4 (x + 2) = 1
log4 (x - 1) (x + 2) = 1
(x - 1)(x + 2) = 4^1
now what?
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Well, you've done the hard part already, just solve it as a normal quadratic now. Make one side of the equation equal to zero and use factorisation and the null factor law or the quadratic formula.
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yup, now just multiply and you get:
x²+2x-x-2=4
x²+x-2-4=0
x²+x-6=0
(x-2)(x+3)=0
x=2 and x=-3 are the solutions
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