Evaluate log

_{3}243^{5}

__Solution__
= log

_{3}243^{5}
= log

_{3}(3^{5})^{5}
= log

_{3}3^{25}
= 25 x log

_{3}3 [since log_{a}a = 1]
= 25 x 1

= 25

**Hence log**

_{3}243^{5 }= 25

__TRY THIS………………__
Evaluate log

_{5}3125^{6}