Evaluate Log100000 + log

_{ }0.01 + log_{3}243

__Solution__
= Log100000 + log

_{ }0.01 + log_{3}243
= Log10

^{5}+ log_{ }10^{-2}+ log_{3}3^{-5}
= 5Log10 + (-2log

_{ }10) + (-5log_{3}3)
= (5x1) + (-2x1) + (-5x1)

= 5 + (-2) + (-5)

= -2

**Hence Log100000 + log**

_{ }0.01 + log_{3}243 = -2