# Logarithmic function problem HELP

• June 3rd 2014, 10:19 AM
cricket71
Logarithmic function problem HELP
Write the expression log6x-1/5(log6x+2log6y) as a single logarithm.

Thank you!!
• June 3rd 2014, 10:29 AM
SlipEternal
Re: Logarithmic function problem HELP
Click "Reply With Quote" on this post to see how I am trying to format your question.

Do you mean express the following as a single logarithm?

$\log_6 x - \dfrac{1}{5\left(\log_6 x + 2\log_6 y\right)}$

Or did you mean this:

$\log (6 x) - \dfrac{1}{5\left(\log (6 x) + 2\log(6 y)\right)}$
• June 3rd 2014, 10:34 AM
Plato
Re: Logarithmic function problem HELP
Quote:

Originally Posted by cricket71
Write the expression log6x-1/5(log6x+2log6y) as a single logarithm.

Is it $\log_6(x)-\frac{1}{5}(\log_6(x)+2\log_6(y))~?$ In LaTeX code it is \$\log_6(x)-\frac{1}{5}(\log_6(x)+2\log_6(y))\$
${\log _6}\left( {\dfrac{x}{{\sqrt[5]{{x{y^2}}}}}} \right)$