Question 1005171
{{{log((sqrt(6m^10*n)))}}}


={{{log((sqrt(6m^10*n)))}}}



={{{(log(sqrt((6)))+log(sqrt(m^10))+log(sqrt(n)))}}}



={{{(log(sqrt(2*3))+log(sqrt(m^10))+log(sqrt(n)))}}}


={{{(log(sqrt(2))+log(sqrt(3))+log(sqrt(m^10))+log(sqrt(n)))}}}


={{{(log((2)^(1/2))+log((3)^(1/2))+log((m^10)^(1/2))+log((n)^(1/2)))}}}


={{{(1/2)(log((2))+log((3))+log((m^10))+log((n)))}}}


={{{(1/2)log((2))+(1/2)log((3))+(1/2)log((m^10))+(1/2)log((n))}}}


={{{(1/2)log((2))+(1/2)log((3))+(1/2)*10*log((m))+(1/2)log((n))}}}


={{{(1/2)log((2))+(1/2)log((3))+5*log((m))+(1/2)log((n))}}}