SOLUTION: If log(base 3)2 = x simplify each logarithm a) log(base 3)8 b) log(base 3)24 c) log(base 3)√2 d) log(base 3)6√2 Can you please help me out? Thanks so much in a

Question 744927: If log(base 3)2 = x simplify each logarithm
a) log(base 3)8
b) log(base 3)24
c) log(base 3)√2
d) log(base 3)6√2

Can you please help me out? Thanks so much in advance:)
Can you also show all the steps because it would help me understand :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How well do you understand what logs are?
If I say , then
is the log
is the result
So I can rewrite this exactly as:

----------------
The general rules are:

( the base can be 10, or anything else )
( again, the base can be anything )
----------------

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SOLUTION: If log(base 3)2 = x simplify each logarithm a) log(base 3)8 b) log(base 3)24 c) log(base 3)&#8730;2 d) log(base 3)6&#8730;2 Can you please help me out? Thanks so much in a

SOLUTION: If log(base 3)2 = x simplify each logarithm a) log(base 3)8 b) log(base 3)24 c) log(base 3)√2 d) log(base 3)6√2 Can you please help me out? Thanks so much in a