SOLUTION: Write as a single logarithm and simplify. 2/3logbase8 (64)-1/2logbase8 (16)+3logbase8 (4)

Question 132620: Write as a single logarithm and simplify.
2/3logbase8 (64)-1/2logbase8 (16)+3logbase8 (4)
Answer by snwbrdfrk(10) (Show Source): You can put this solution on YOUR website!
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
__________
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