Question

Help on evaluating expressions

Answer 1

`4log_(216)6\\\\use:\ log_ab=(log_cb)/(log_ca)\\\\4log_(216)6=4\cdot(log_66)/(log_6216)=4\cdot(1)/(log_66^3)=\boxed{(4)/(3)}`



`2log_(1)/(2)(1)/(16)=2log_(1)/(2)\left((1)/(2)\right)^4=4\cdot2log_(1)/(2)(1)/(2)=4\cdot2\cdot1=\boxed8`