SOLUTION: 1-2logbase3(squarroot 3/9)

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Question 611081: 1-2logbase3(squarroot 3/9)
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

This problem is quite simple once you see that the base of the logarithm is 3 and that the argument is made up of powers of 3. Using the facts tht a square root is the same as a power of 1/2 and that 9 is 3 squared we get:


Using the rules for exponents for division (i.e. subtract the exponents) we get:


Now we can use a property of logarithms, , we can move the exponent out in front:

Since by definition this becomes:

which simplifies as follows:
1+3
4
So

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