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 on the left side using the index rule a^x × b^x = (a × b)^x. (2 × 3)^x = 8 6^x = 8 Step 2: Take the logarithm of both sides. Using base 10 logarithm (lg) is convenient for calculation. _10 (6^x) = _10 8 Step 3: Apply the power rule of logarithms, _b (M^c) = c _b M. x _10 6 = _10 8 Step 4: Solve for x. x = _10 8_10 6 Step 5: Calculate the numerical value and round to 3 significant figures. x ≈ (0.903089987)/(0.778151250) x ≈ 1.160559... Rounding to 3 significant figures: x = 1.16 Last free one today — make it count tomorrow, or type /upgrade for unlimited.