Grade 12Algebra
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}
1 Answer
sanatan 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
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago