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
Let's solve this logarithmic equation. Step 1: Write down the given equation. 2 _x (3^3/8) = 6 Step 2: Divide both sides by 2 to isolate the logarithm. _x (3^3/8) = (6)/(2) _x (3^3/8) = 3 Step 3: Apply the power rule of logarithms, which states that _b (M^p) = p _b (M). (3)/(8) _x (3) = 3 Step 4: Multiply both sides by (8)/(3) to isolate _x (3). _x (3) = 3 × (8)/(3) _x (3) = 8 Step 5: Convert the logarithmic equation to its exponential form. If _b A = C, then b^C = A. x^8 = 3 Step 6: Solve for x by taking the eighth root of both sides. x = 3^1/8 The value of x is 3^1/8. Last free one today — make it count tomorrow, or type /upgrade for unlimited.