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
a) The equation is already in exponential form, which does not involve logarithms. y = 5^x b) 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 Last free one today — make it count tomorrow, or type /upgrade for unlimited.