Answer:
x = y² - z²
Step-by-step explanation:
Data provided:
log(x) = log(y + z) + log(y − z) .................(1)
Now, from the properties of log
we know that
log(A) + log(B) = log(AB)
applying the above property on the equation given, we get
log(y + z) + log(y − z) = log( (y + z) × (y - z) )
or
log(y + z) + log(y − z) = log( y² - z² )
Substituting the above result in the equation 1 , we get
log(x) = log( y² - z² )
taking the anti-log both sides, we get
x = y² - z²
