If xx> 0, a + b > 0, a > b, and log(x) = log(a + b) + log(a − b), find x in terms of a and b.

Step-by-step explanation:

By properties of logarithms we know that:

log(m)+log(n)=log(m*n)

So, we can write the equation as:

log(x) = log(a + b) + log(a − b)

log(x) =log((a+b)(a-b))

If we multiply (a+b)(a-b) we get , so:

log(x) =log()

Finally, , so we can isolate x as:

c is the answer

step-by-step explanation: