SOLUTION: Evaluate the expression {{{1/log(1/2,100) + 1/log(2/3,100) + 1/log(3/4, 100)}}} +...+ {{{1/log(99/100, 100)}}}.

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Question 1048623: Evaluate the expression

+...+ .
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.
Evaluate the expression

+...+ .
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

   +  +  + . . . +  =  +  + . . .  +  . . . +  = 

=  =  = -1.

On properties of logarithms see the lessons
    - WHAT IS the logarithm,
    - Properties of the logarithm,
    - Change of Base Formula for logarithms,
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.


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