Question

Log (5) + log (x) - log (x-6) = 1
can someone tell me how to solve this rq

Answer 1

Explanation:

log(5) + log(X) = log(5x)

log( 5x) - log(x - 6) = log (5x/(x - 6))

antilog(log(5x/(x - 6)) = antilog(1)

5x / (x - 6) = 10 multiply both sides by x - 6

5x = 10(x - 6) remove the brackets

5x = 10x - 60 Subtract 10 x from both sides

5x - 10x = - 60

-5x = - 60 Divide by 5

x = 12