SOLUTION: Write Logb(that is base b)x^3y^2/z(that is a fraction) in terms of the logarithms of x, y, and z.

Question 376797: Write Logb(that is base b)x^3y^2/z(that is a fraction) in terms of the logarithms of x, y, and z.
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 arguments of logarithms:

Since your argument is a fraction/division, we willstart by using the second property to split the numerator and denominator into their own logarithms:

Next we can use the first property on the first logarithm, since its argument is a product:

And last we can use the third property on the first two logarithms, since their arguments have exponents:

This expression is equivalent to the original expression and it it expressed in terms of the base b logarithms of x, y and z.
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