Question 1138041
find {{{log(x,135/98)}}}

given:

{{{log(x,2)=0.2702}}}
{{{log(x,3)=0.4283}}}
{{{log(x,5)=0.6275}}}
{{{log(x,7)=0.7587}}}



{{{log(x,135/98)}}}

={{{log(x,135)-log(x,98)}}}

={{{log(x,135)-log(x,98)}}}........write {{{135 = 3^3*5 }}} and {{{98 = 2*7^2}}}

={{{log(x,3^3*5)-log(x,2*7^2)}}}

={{{log(x,3^3)+log(x,5)-(log(x,2)+log(x,7^2))}}}

={{{3log(x,3)+log(x,5)-(log(x,2)+2log(x,7))}}}

={{{3log(x,3)+log(x,5)-log(x,2)-2log(x,7)}}}......plug in given values

={{{3*0.4283+0.6275-0.2702-2*0.7587}}}

={{{1.2849+0.6275-0.2702-1.5174}}}

={{{0.1248}}}