Question 687650
{{{ log(x^5y^4) - 2*log(x*(y^1/3)) - 5*log(x/y)  }}}
I'll take each term one at a time
{{{ log(x^5y^4) }}}
{{{ log( x^5 ) + log( y^4 ) }}}
{{{ 5*log( x ) + 4*log( y ) }}}
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{{{ 2*log(x*(y^1/3)) }}}
{{{ 2*log( x ) + 2*log( y^(1/3) ) }}}
{{{ 2*log( x ) + (2/3)*log( y ) }}}
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{{{  5*log(x/y) }}}
{{{ 5*log( x ) - 5*log( y ) }}}
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Putting these together with the right signs:
{{{ 5*log( x ) + 4*log( y ) - 2*log( x ) - (2/3)*log( y ) - 5*log( x ) + 5*log( y ) }}}
Now put like terms together
{{{ 5*log( x ) - 2*log( x ) - 5*log( x ) + 4*log( y ) - (2/3)*log( y ) + 5*log( y ) }}}
{{{ - 2*log( x ) + ( 27/3 )*log( y ) - (2/3)*log( y ) }}}
{{{ (25/3)*log( y ) - 2*log( x ) }}} answer
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It's VERY easy to slip up- hope I got it