Question

Find the value of x in log(x+3)+log(x−3)=log72

Answer 1

answer is 9

hope you will understand better.... Thank you

Answer 2

Answer:

The value of x = 9

Step-by-step explanation:

Given problem

Find the value of x in log(x+3)+log(x−3)=log(72)

from the formula log (xy) = log x + log y

log(x+3)+log(x−3) = log [( x+3) (x-3)]

⇒ log [ (x+3) (x-3) ]  = log (72)    

the log on both side will be cancelled then

⇒   (x+3)(x-3)  = 72

⇒   x² - 9 = 72

⇒   x² = 72 + 9 = 81

⇒   x² = 9 × 9  

⇒    x = 9