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You can put this solution on YOUR website!
see my worksheet below.
\n" ); document.write( "the answer is log(y^(25/3)/x^2).
\n" ); document.write( "this answer has been verified to be correct by assigning 5 to x and 6 to y and evaluating both the original expression and the final expression to determine if they yielded the same answer.
\n" ); document.write( "they did.
\n" ); document.write( "i rewrote your original expression to the following, based on my understanding of what you had written.
\n" ); document.write( "log(x^4 * y^5) - 2 * log(x * y^(1/3)) - 4 * log(x / y).
\n" ); document.write( "y^(1/3) is the same thing as cube root of y.
\n" ); document.write( "here's my worksheet.
\n" ); document.write( "some comments before you view it.
\n" ); document.write( "log(x) - log(y) - log(z) = log(x/y) - log(z) = log((x/y)/z)
\n" ); document.write( "a * log(x) = log(x^a)
\n" ); document.write( "x^a/x^b = x^(a-b)
\n" ); document.write( "x^-a - 1/x^a
\n" ); document.write( "(x/y)^a = x^a/y^a
\n" ); document.write( "(x*y)^a = x^a*y^a
\n" ); document.write( "you'll see these concepts being utilized in the worksheet below.
\n" ); document.write( "if you have any specific questions after going through the worksheet, feel free to ask and i'll be glad to provide additional explanations as necessary.
\n" ); document.write( "in the meantime, here's a reference you might find helpful.
\n" ); document.write( "https://www.purplemath.com/modules/logrules.htm
\n" ); document.write( "
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