Question

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

Answer 1

The value of x is 6 , - 5

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