This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Apply the product rule of logarithms to the right side of the equation. The product rule states that M + N = (M × N). (x-4) = (3 × 7) (x-4) = 21 Step 2: Since the logarithms on both sides have the same base (implied base 10), we can equate their arguments. x-4 = 21 Step 3: Solve for x by adding 4 to both sides of the equation. x = 21 + 4 x = 25 Step 4: Check the solution. The argument of a logarithm must be positive. For (x-4), we need x-4 > 0. If x=25, then 25-4 = 21, which is greater than 0. So the solution is valid. x = 25 3 done, 2 left today. You're making progress.