SOLUTION: 6=2logx+1/3logy solve for x

Question 417039: 6=2logx+1/3logy
solve for x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Let's start by getting rid of the fraction. Multiplying both sides by 3 we get:

Next we will subtract log(y):

Now we'll divide both sides by 6:

which will simplify to:

And last, we will rewrite the equation in exponential form. In general is equivalent to . Using this pattern on your equation we get:

(Sometimes expressions like the one above do not display well in your browser. If this is the case. then picture the left side as a 10 with an exponent of
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