Learn how to solve properties of logarithms problems step by step online. Solve the logarithmic equation log(2+x)-log(x+-3)=log(2). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Multiply both sides of the equation by x-3. Solve the product 2\left(x-3\right).

Solve the logarithmic equation log(2+x)-log(x+-3)=log(2)