Learn how to solve problems step by step online. Solve the logarithmic equation ln(2)+ln(x+3)=ln(x+5). Applying the product rule for logarithms: \log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b. Solve the product 2\left(x+3\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.

Solve the logarithmic equation ln(2)+ln(x+3)=ln(x+5)