Solve for x.

log (x) = log (y + z) + log (y - z)

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