Question$4 \log _{3} 3+\log _{3} 9-\log _{3} 18$

Studdy Solution
Use the quotient rule of logarithms, which states $\log_{b} a - \log_{b} c = \log_{b} \left(\frac{a}{c}\right)$:
$$\log_{3} \left(\frac{81}{2}\right)$$
Evaluate the expression:
Since $81 = 3^4$, the expression becomes:
$$\log_{3} \left(\frac{3^4}{2}\right)$$
The expression cannot be simplified further without a calculator, so the final simplified expression is:
$$\log_{3} \left(\frac{81}{2}\right)$$