Question

express as a single logarithm: log(x/y^2)+3logy-2logxy^3

Answer 1

\[\log \frac{ x }{ y ^{2} }+3\log y-2\log xy ^{3}\]

Answer 2

\[\log\frac{x}{y^2}+3\log y-2\log xy^3\]\[=\log\frac{x}{y^2}+\log y^3-\log (xy^3)^2\]\[=\log(\frac{x}{y^2}\times y^3 \div (xy^3)^2) =...\]

Answer 3

\[a \log x = \log x^a\]\[\log m + \log n =\log (mn)\]\[\log m -\log n = \log (\frac{m}{n})\]

Answer 4

thanks. can you answer one last question?

Answer 5

after this one

Answer 6

sorry bad joke

Answer 7

\[\log_{6}(x+5)=\frac{ 1 }{ 2 } \] I think it's not possible because x+5 would have to be negative but not sure