Question

Express as a single logarithm and, if possible log(x^(2)-x-6)-log(x^(2)-4)

Answer 1

To express the expression log(x^(2)-x-6)-log(x^(2)-4) as a single logarithm, rewrite it as log((x^(2)-x-6)/(x^(2)-4)).

Step-by-step explanation:

To express the expression log(x^(2)-x-6)-log(x^(2)-4) as a single logarithm, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

So, we can rewrite the expression as:

log((x^(2)-x-6)/(x^(2)-4))

This is the single logarithm form of the given expression.