Question

In 2+ In (x-2)= In 14

Answer 1

hi

as ln(x) + ln (y) = ln (x*y)

we have :   ln(2) + ln (x-2) =  ln ( 2 * (x-2) ) = ln ( 2x -4)

so   ln (2x-4) = ln 14

        2x -4 =  14

        2x-4 +4 =  14 +4

         2x  =  18

         2x/2 = 18/2

           x = 9

let's check :     ln 2 + ln (9-2) =   ln ( 2 * (9-2) ) =   ln  (2* 7) = ln (14)