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 like terms on the left side of the equation. 2^x + 2^x = 1 2 · 2^x = 1 Step 2: Use the exponent rule a^m · a^n = a^m+n to simplify the left side. Here, 2 = 2^1. 2^1+x = 1 Step 3: To solve for x, we can take the logarithm of both sides. Alternatively, we know that any non-zero number raised to the power of 0 equals 1. 2^1+x = 2^0 Step 4: Since the bases are the same, the exponents must be equal. 1+x = 0 Step 5: Solve for x. x = -1 The final answer is -1. Send me the next one 📸