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 2 = 0.3010 and 3 = 0.4771 and logarithm properties. Step 1: Rewrite 1.5 as a fraction. 1.5 = (15)/(10) = (3)/(2) Step 2: Apply the logarithm power rule, (a^b) = b a. (1.5)^2 = 2 (1.5) Step 3: Substitute the fractional form of 1.5 and apply the logarithm quotient rule, ((a)/(b)) = a - b. 2 (1.5) = 2 ((3)/(2)) = 2 ( 3 - 2) Step 4: Substitute the given values for 3 and 2. 2 (0.4771 - 0.3010) Step 5: Perform the subtraction and multiplication. 2 (0.1761) = 0.3522 The value of (1.5)^2 is 0.3522. This matches option A. The final answer is A. 0.3522. Send me the next one 📸