Identify Equation: Identify the equation to solve for W. The equation given is 5/6 W = 10/3.Isolate W: Isolate W by multiplying both sides of the equation by the reciprocal of 5/6, which is 6/5. (6/5) * (5/6) W = (6/5) * (10/3)Simplify Equation: Simplify both sides of the equation. The left side becomes W because (6/5) * (5/6) = 1. The right side is simplified by multiplying the numerators and denominators: (6 * 10) / (5 * 3).Calculate Right Side: Calculate the right side of the equation. (6 * 10) / (5 * 3) = 60 / 15.Simplify Fraction: Simplify the fraction on the right side of the equation. 60 / 15 = 4.Write Value of W: Write down the value of W. W = 4.

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$\frac{5}{6} W = \frac{10}{3}$

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Algebra 2

Convert between exponential and logarithmic form: all bases

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\frac{5}{6} W = \frac{10}{3}

Identify Equation: Identify the equation to solve for $W$ . The equation given is $\frac{5}{6} W = \frac{10}{3}$ .
Isolate W: Isolate W by multiplying both sides of the equation by the reciprocal of $\frac{5}{6}$ , which is $\frac{6}{5}$ . $\newline$ $\left(\frac{6}{5}\right) \cdot \left(\frac{5}{6}\right) W = \left(\frac{6}{5}\right) \cdot \left(\frac{10}{3}\right)$
Simplify Equation: Simplify both sides of the equation. $\newline$ The left side becomes $W$ because $\frac{6}{5} \times \frac{5}{6} = 1$ . $\newline$ The right side is simplified by multiplying the numerators and denominators: $\frac{6 \times 10}{5 \times 3}$ .
Calculate Right Side: Calculate the right side of the equation. $\newline$ $(6 \times 10) / (5 \times 3) = 60 / 15$ .
Simplify Fraction: Simplify the fraction on the right side of the equation. $\frac{60}{15} = 4$ .
Write Value of W: Write down the value of $W$ . $W = 4$ .