Answer:
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
