Question 132620
2/3logbase8 (64)-1/2logbase8 (16)+3logbase8 (4)

when you have a log that has the same base you can combine them
the exponents infront have to move and they go above the log number like in your case 64 16 and 4 and it will change to be the power of something

logbase8 64^2/3 - logbase8 16^1/2 + logbase8 4^3
now we need to simplify

logbase8 16 - logbase8 4 + logbase8 64

now since the base is the same we can combine them
if it is addition you multiply them but if it is subtraction you divide it. i will do the multiply part first

logbase8 16 - logbase8 256
now then you divide

logbase8 256/8        

logbase8 32
__________
log 32    
   8      
__________