Evaluate: 3/4 + 15/7 ÷ 4/7 of 2 1/3 / (1 3/7 - 5/8) × 2/3
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
1.
Let $X = \sqrt[3]{\frac{36.72 \times (0.46)^2}{185.4}}$.
Taking the logarithm of both sides:
$$ \log X = \log \left( \frac{36.72 \times (0.46)^2}{185.4} \right)^{\frac{1}{3}} $$
$$ \log X = \frac{1}{3} \left[ \log(36.72) + 2\log(0.46) - \log(185.4) \right] $$
Step 1: Find the logarithms of the numbers using logarithm tables.
$$ \log(36.7
