SOLUTION: Please help me solve for x: a) logbase12(x^2-x)=1 b) (logbase2 x)^2-6*(logbase2 x) +8=0 c) (logbase3 x)^2-4*(logbase3 x) +3=0

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Question 129363: Please help me solve for x:
a) logbase12(x^2-x)=1
b) (logbase2 x)^2-6*(logbase2 x) +8=0
c) (logbase3 x)^2-4*(logbase3 x) +3=0

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
log[12](x^2-x)=1
12^(log[12](x^2-x))=12^1
x^2-x=12
x^2-x-12=0
(x-4)(x+3)=0
x=4, x=-3
.
(log[2]x)^2-6(log[2]x+8=0
(log[2]x-4)(log[2]x-2)=0
log[2]x=4
2^log[2]x=2^4
x=16
log[2]x=2
2^log[2]x=2^2
x=4
.
c is similar to b.
I'll let you do that one.
.
Ed

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