Learn how to solve multiply powers of same base problems step by step online. Solve the logarithmic equation log(x)+log(2*x)=log(50). The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. When multiplying two powers that have the same base (x), you can add the exponents. 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. Divide both sides of the equation by 2.

Solve the logarithmic equation log(x)+log(2*x)=log(50)