Question 771755
{{{log( 2,( 3x^2) / (12x*y)) }}}
{{{ 3x^2 / (12x*y) = x / 4y }}}
{{{ log( 2,  (x/( 4y )) ) }}}
{{{ log( 2,x ) - log( 2,y ) - log( 2,4 ) }}}
{{{ log( 2,x ) - log( 2,y ) - 2 }}}
--------------------------
A quick check is:
Let {{{ x = 4 }}}
Let {{{ y = 8 }}}
{{{ log( 2,( 3x^2) / (12x*y)) }}}
{{{ log( 2,(( 3*4^2) / (12*4*8))) }}}
{{{ log( 2,( 4^2 / (4*4*8))) }}}
{{{ log( 2, (16 / ( 16*8)) ) }}}
{{{ log( 2, (1/8) ) = -3 }}}
and
{{{ log( 2,x ) - log( 2,y ) - 2 }}}
{{{ log( 2,4 ) - log( 2,8 ) - 2 }}}
{{{ 2 - 3 - 2 = -3 }}}
OK- The calculator might be right, too.
You can use this method to check