SOLUTION: Write the expression in terms of simpler logarithmic forms.
ln x^4y^2/z^1/2
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Question 368653: Write the expression in terms of simpler logarithmic forms.
ln x^4y^2/z^1/2
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
There are three properties of logarithms which can be used to manipulate them:
Since the argument of your logarithm is a division/fraction, we will use the second property to split it into two logarithms:
The argument of the first logarithm is a product so we will use the first property to split it into two logarithms:
The arguments all three logarithms have an exponent. We can use the third property on them to move the argument out in front:
By using the properties as we have, the expression as a whole is more complex but the arguments of the logarithms are now just a simple variable.
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