In (x-4) + ln (x+3) = ln18

The value of x is 6, - 5

Step-by-step explanation:

Given as;

log (x - 4) + log (x + 3) = log 18

From log property

I. e log m + log n = log (m * n)

So, log (x - 4) + log (x + 3) = log 18

or, log { (x - 4) * (x + 3) } = log 18

Or, (x - 4) * (x + 3) = 18

Or, x² + 3 x - 4 x - 12 = 18

Or, x² - x - 12 - 18 = 0

or, x² - x - 30 = 0

Or, x² - 6 x + 5 x - 30 = 0

or, x (x - 6) + 5 (x - 6) = 0

or, (x - 6) (x + 5) = 0

So, the value of x is 6, - 5

Hence the value of x is 6, - 5 Answer