Find all solutions of the equation below. 2log(x+2)=log(2x+4) Select the correct choice below and fill in any answer box(es) to complete your choice. (Simplify your answer. Use a comma to separate answers as needed. Round to four decimal places as needed.) A. There is no solution that is not extraneous. The solution(s) that is/are extraneous is/are x=square B. The solution(s) that is/are not extraneous is/are x=square There is no solution that is extraneous. C. The solution(s) that is/are not extraneous is/are x= The solution(s) that is/are extraneous is/are x=square

## Step1: {Identify the equation}The given equation is .## Step2: {Apply logarithm properties}Using the logarithm property , the equation can be rewritten as .## Step3: {Solve for x}Since the logarithms on both sides of the equation have the same base and are equal, the arguments must also be equal. Therefore, .## Step4: {Simplify the equation}Expanding and simplifying the equation gives . Rearranging the terms gives .## Step5: {Factor the equation}Factoring the equation gives .## Step6: {Find the roots}Setting each factor equal to zero gives the solutions and .## Step7: {Check for extraneous solutions}Substituting and back into the original equation, it is found that is an extraneous solution because it results in taking the logarithm of a non-positive number, which is undefined. Therefore, the only valid solution is .