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: Combine the terms involving x on the left side of the equation. 4 x + 5 x - 7 x = 16 (4+5-7) x = 16 2 x = 16 Step 2: Use the logarithm property a b = (b^a) to rewrite the left side. (x^2) = 16 Step 3: Since A = B implies A=B, equate the arguments of the logarithms. x^2 = 16 Step 4: Solve for x by taking the square root of both sides. x = ±sqrt(16) x = ± 4 Since the argument of a logarithm must be positive, x must be greater than 0. Therefore, we take the positive root. x = 4 The value of x is 4. That's 2 down. 3 left today — send the next one.