log3 (2x-1) + log3 (5-x)=2
log3 (2x-1) + log3 (5-x)=log3 3^2
log3 ((2x-1)*(5-x))=log3 9
log(11x-2x^2-5)=log3 9
11x - 2x^2 - 5 = 9
2x^2-11x + 14 = 0
D=11^2 - 4*2*14=121 - 112=9
x1 = (11+3)/4=14/4=3,5
x2=(11-3)/4=8/4=2
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Answers & Comments
log3 (2x-1) + log3 (5-x)=log3 3^2
log3 ((2x-1)*(5-x))=log3 9
log(11x-2x^2-5)=log3 9
11x - 2x^2 - 5 = 9
2x^2-11x + 14 = 0
D=11^2 - 4*2*14=121 - 112=9
x1 = (11+3)/4=14/4=3,5
x2=(11-3)/4=8/4=2