Question

Log(2x-1)-log(x+2)-1=0 solve for x full process

Answer 1

log (2x -1) - log (x +2) - 1 = 0

=> log (2x -1) - log (x + 2) = 1

=> log (2x -1) - log (x+2) = log 10

=> log (2x-1)/(x+2) = log 10

=> (2x-1)/(x+2) = 10

=> 2x -1 = 10(x+2)

=> 2x -1 = 10x + 20

=> 10x -2x = -1-20

=> 8x = -21

=> x = -21/8

Answer 2

=> x = -21/8 is the answer