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
To find the value of (1.5)^2, we will use the given values of 2 and 3 and properties of logarithms. Step 1: Apply the power rule of logarithms, which states that (a^b) = b a. (1.5)^2 = 2 (1.5) Step 2: Express 1.5 as a fraction using the numbers 2 and 3. 1.5 = (3)/(2) Step 3: Substitute the fractional form into the expression. 2 ((3)/(2)) Step 4: Apply the quotient rule of logarithms, which states that ((a)/(b)) = a - b. 2 ( 3 - 2) Step 5: Substitute the given values 2 = 0.3010 and 3 = 0.4771. 2 (0.4771 - 0.3010) Step 6: Perform the subtraction inside the parentheses. 2 (0.1761) Step 7: Perform the multiplication. 2 × 0.1761 = 0.3522 The value of (1.5)^2 is 0.3522. This corresponds to option A. The final answer is A. 0.3522. That's 2 down. 3 left today — send the next one.