Question 79057
write 2/3 log 64-3 log 2 as a single log
{{{log(64)^(2/3)-log(2)^3}}} Power rule
{{{log(4)^3^(2/3)-log(8)}}}
{{{log(4)^(6/3)-log(8)}}}
{{{log(4^2)-log(8)}}}
{{{log(16)-log(8)}}}
{{{log(16/8)}}}  Quotient Rule
{{{log(2)}}}
If you check this with your calculator, you will see that:
2/3 log 64-3 log 2=log 2
.3010299957=.3010299957
:
Happy Calculating!!!!