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
Welcome back Egyptian — missed you this week. Step 1: Convert the logarithmic equation to an exponential equation. The definition of a logarithm states that if _b(a) = c, then b^c = a. Given the equation _2(3x-1) = 5, we have b=2, a=3x-1, and c=5. 2^5 = 3x-1 Step 2: Calculate the value of the exponential term. 32 = 3x-1 Step 3: Solve the linear equation for x. Add 1 to both sides of the equation: 32 + 1 = 3x 33 = 3x Step 4: Divide by 3 to find x. (33)/(3) = x x = 11 The value of x is 11. Send me the next one 📸