Browse · MATH

jmc

algebra intermediate

Problem

Evaluate

lo g_{3} 273

. Express your answer as an improper fraction.

Solution

We have

273 = (3^{3}) (3^{\frac{1}{2}}) = 3^{(3 + \frac{1}{2})} = 3^{\frac{7}{2}}

. Therefore,

lo g_{3} 273 = \frac{7}{2}

.

Final answer

\frac72