Use logarithms to evaluate 3/(86.37 x 6.285).

March 31, 2026Mathematics

ScanSolve AI Answer

March 31, 2026

Answer

\sqrt[3]{\frac{38.32 \times 12.964}{86.37 \times 6.285}}$.

Step 1: Set up the logarithmic expression. Let $X = \sqrt[3]{\frac{38.32 \times 12.964}{86.37 \times 6.285}}$ . Taking the logarithm of both sides: $\log X = \log \left( \left( \frac{38.32 \times 12.964}{86.37 \times 6.285} \right)^{\frac{1}{3}} \right)$ Using logarithm properties $\log(a^b) = b \log a$ and $\log(\frac{a}{b}) = \log a - \log b$ :

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Set up the logarithmic expression. Let X = 3/(86.37 × 6.285).

Asked on March 31, 2026Mathematics

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 AnswerAnswered on March 31, 2026

Step 1: Set up the logarithmic expression. Let X = 3/(86.37 × 6.285). Taking the logarithm of both sides: X = ( ( (38.32 × 12.964)/(86.37 × 6.285) )^(1)/(3) ) Using logarithm properties (a^b) = b a and ((a)/(b)) = a - b: X =