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The first key to this problem is to know that square roots can be expressed using fractional exponents: . So we can rewrite your expression using an exponent of 1/2:
Now we can start using the properties of logarithms:
We can use the third property to remove the exponent:
Now we need to change the argument from a six to something in terms of 2's and/or 3's. It should be obvious that 6 = 2*3 so now we have:
In this form we can use the first property to separate the log into two logs:
Next we can subsitute in for the two logs:
And finally we can use the Distributive Property:
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