Question 1028712
I am stuck on this. Any help will be appreciated. Thanks!
If log_a(x)=2, log_a(y)=4, and log_a(z)=6, what is the value of log_a((y^2)/((x^2)√(z)) 

The listed answers are -2, -1, 0, 1, 2, and 3. Now I know that 'a' is unknown. So I assume that I need to use one of the properties to get an answer like log_a1=0, log_aa=1, etc. Using these I was only able to get it to 3log_a(2/6). Any help will be appreciated.
<pre>{{{matrix(1,5, log (a, (x)) = 2, "*********", log (a, (y)) = 4, "*********", log (a, (z)) = 6)}}} 
{{{log (a, (y^2)/((x^2) * sqrt(z)))}}} 
{{{log (a, (y^2)) - (log (a, (x^2)) + log (a, sqrt(z)))}}}
{{{2 * log (a, (y)) - (2 * log (a, (x)) + log (a, (z^(1/2))))}}}
{{{2 * log (a, (y)) - 2 * log (a, (x)) - (1/2) * log (a, (z)))}}}
{{{2(4) - 2(2) - (1/2) 6}}} = 8 - 4 - 3 = {{{highlight_green(1)}}}