Question

log base 2 power (x-1) minus 1log base 2 power (x+2) =2​

Answer 1

Answer:

log2(x-1) -lg 2 ( x+2 ) = 2

lg 2((x-1)/(x+2)) = 2

(x-1)(x+2) = 2^2

x^2 +2x -x -2 = 4

x^2 +x = 6

x(x+1) = 6

if , x= 2 then the satisfied the equation.

2(2+1) = 6

2*3 = 6

6 =6

l.H.S. = R.H.S.

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