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: Write the given equation. 5^x-2 = 3^x-2 Step 2: Divide both sides of the equation by 3^x-2. 5^x-23^x-2 = 3^x-23^x-2 Step 3: Simplify both sides using the exponent rule (a^m)/(b^m) = ((a)/(b))^m. ((5)/(3))^x-2 = 1 Step 4: For any non-zero base b, b^0 = 1. Therefore, the exponent must be equal to 0. x-2 = 0 Step 5: Solve for x. x = 2 The value of x is 2. Send me the next one 📸