1. State the problem: Create a question involving logarithmic equations using the laws of logarithms. 2. Use the logarithmic laws: $$\log a + \log b = \log(ab)$$ $$\log a - \log b = \log\left(\frac{a}{b}\right)$$ $$\log a^n = n \log a$$ 3. Example question: Solve for $x$ in the equation $$\log_3(4x - 5) = 2$$ 4. Step 1: Convert the logarithmic equation to exponential form: $$4x - 5 = 3^2$$ 5. Step 2: Simplify the right side: $$4x - 5 = 9$$ 6. Step 3: Solve for $x$: $$4x = 9 + 5$$ $$4x = 14$$ $$x = \frac{14}{4}$$ 7. Step 4: Simplify the fraction: $$x = \frac{\cancel{14}}{\cancel{4}} = \frac{7}{2}$$ 8. Final answer: $$x = \frac{7}{2}$$