Question 1206896
Given that 


{{{log(2, 3)=x}}}


{{{log(2 ,5) = y}}}


 {{{log(2 ,7)=z}}}


express {{{log(2,sqrt( 21))}}} in terms of{{{ x}}}, {{{y}}},{{{ z}}} 


{{{log(2,sqrt( 21))}}}


={{{log(2,sqrt( 3*7))}}}


={{{log(2,( 3*7)^(1/2))}}}


={{{(1/2)log(2,( 3*7))}}}


={{{(1/2)(log(2,3)+log(2,7))}}}....substitute given 


={{{(1/2)(x+z)}}}