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 power rule of logarithms, c _b M = _b (M^c), to the term x _3 2. x _3 2 = _3 (2^x) Step 2: Substitute this back into the original equation. _3 y = _3 (2^x) + _3 6 Step 3: Apply the product rule of logarithms, _b M + _b N = _b (MN), to the right side of the equation. _3 y = _3 (2^x × 6) _3 y = _3 (6 · 2^x) Step 4: Since the logarithms on both sides have the same base, we can equate their arguments. y = 6 · 2^x 3 done, 2 left today. You're making progress.