SOLUTION: How do I get the following logarithm as a singke term that doesn't contain a logarithm e^(9-6ln (x)+ln (y))

Question 815429: How do I get the following logarithm as a singke term that doesn't contain a logarithm
e^(9-6ln (x)+ln (y))

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Since we will be able to solve this problem if we change the 9 into a logarithm and then combine the logs. Since ln(e) = 1 we can rewrite the expression:

Now we can use the property to move the two coefficients into the argument as its exponent:

Now we start combining the logs. For the first two we will use the property:

For the remaining logs we will use the property:

We now have the desired "e to the ln" form. So this equals:

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