log(x-6)+log(x-3)=2log2 find x
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11
Answer:
7,2
Step-by-step explanation:
log(x-6)(x-3)=2log2
log(x^2-6x-3x+18)=log4
log(x^2-9x+18)=log4
log(x^2-6x-3x+18=log4
x^2-9x+18=4
x^2-9x+14=0
x^2-7x-2x+14=0
x(x-7)-2(x-7)=0
(x-7)(x-2)=0
x=7,2
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