document.write( "Question 946235: Find the exact value of (log base 2 of 3)(log base 3 of 4)(log base 4 of 5)...(log base n of n+1)(log base n+1 of 2) without using a calculator. \n" ); document.write( "

Algebra.Com's Answer #577894 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%282%2C%283%29%29=log%28%283%29%29%2Flog%28%282%29%29\"$
\n" ); document.write( " $\"log%283%2C%284%29%29=log%28%284%29%29%2Flog%28%283%29%29\"$
\n" ); document.write( " $\"log%284%2C%285%29%29=log%28%285%29%29%2Flog%28%284%29%29\"$
\n" ); document.write( " $\"log%285%2C%286%29%29=log%28%286%29%29%2Flog%28%285%29%29\"$
\n" ); document.write( " $\"log%28n%2C%28n%2B1%29%29=log%28%28n%2B1%29%29%2Flog%28%28n%29%29\"$
\n" ); document.write( " $\"log%28n%2B1%2C%282%29%29=log%28%282%29%29%2Flog%28%28n%2B1%29%29\"$
\n" ); document.write( "Similarly for the rest of the terms.
\n" ); document.write( "Multiplying it all out would leave,
\n" ); document.write( " $\"%281%2Flog%28%282%29%29%29%2Alog%28%282%29%29=highlight%281%29\"$
\n" ); document.write( " \n" ); document.write( "

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