the equation log2xlog2 x23 has the solution 27 The equation

the equation log2x+log2 (x+2)=3 has the solution:

27. The equation log, x + log, (x+2)-3 has the solution: B, x=-4, 2 C. x = 3 D. x -2, 3 28 The equation (lopx)-4log x-5-0 has the solution:

log₂x + log₂(x+2)=3

we have to use log property which is

log a + log b=log ab

log₂(x(x+2))=3

writing it in exponential form

x(x+2)=2³

x² + 2x -8=0

(x+4)(x-2)=0

x=-4,x=2

log cant take negative value. Therefore we have to ignore x=-4

Hence the answer is x=2