Find x satisfying the equation
log^2(1 + 4/x) + log^2{1 - 4/(x + 4)}= 2log^2{2/(x-1) -1}
Find x satisfying the equation
log^2(1 + 4/x) + log^2{1 - 4/(x + 4)}= 2log^2{2/(x-1) -1}
Ayush Shrivastava , 14 Years ago
Grade 12
Algebra> logarithm...
1 Answerssanatan sharma
log^2(1+4/x) + log^2(1-4(x+4)) = 2 log^2 (2/(x-1)-1)
log^2((x+4)/4) + log^2 (x/(x+4)) = 2 log^2 (2/(x-1)-1)
log^2 ((x+4)/4)(x/(x+4)) = 2 log^2 (2/(x-1)-1)
log^2 1 = 2 log^2 (2/(x-1)-1)
1 = (2/(x-1)-1)^2
± 1 = (2/(x-1)-1)
x = 1
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