Question 1096787
Numerator:
{{{log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9))=log(3,(3))-log(3,(4))+log(3,(4))-log(3,(5))+log(3,(5))-log(3,(6))+log(3,(6))-log(3,(7))+log(3,(7))-log(3,(8))+log(3,(8))-log(3,(9))}}}
{{{log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9))=log(3,(3))-log(3,(9))}}}
{{{log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9))=1-2}}}
{{{log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9))=-1}}}
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Denominator:
{{{
log((4/5))+log((5/6))+log((6/7))+log((7/8))+log((8/9))+log((9/10))=
log((4))-log((5))+log((5))-log((6))+log((6))-log((7))+log((7))-log((8))+log((8))-log((9))+log((9))-log((10))}}}
{{{
log((4/5))+log((5/6))+log((6/7))+log((7/8))+log((8/9))+log((9/10))=
log((4))-log((10))}}}
{{{log((4/5))+log((5/6))+log((6/7))+log((7/8))+log((8/9))+log((9/10))=
log((4))-1)}}}
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So then,
{{{(log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9)))/(log((4/5))+log((5/6))+log((6/7))+log((7/8))+log((8/9))+log((9/10)))=(-1)/(log((4))-1))}}}
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{{{(log(3,(3/4))+log(3,(4/5))+log(3,(5/6))+log(3,(6/7))+log(3,(7/8))+log(3,(8/9)))/(log((4/5))+log((5/6))+log((6/7))+log((7/8))+log((8/9))+log((9/10)))=highlight((1)/(1-log((4)))))}}}