document.write( "Question 133420This question is from textbook
\n" ); document.write( ": need help with this problem. instructor did not cover it.
\n" ); document.write( "find the value of log3 base 2 multiplied by log4 base 3 multiplied by log5 base 4 multiplied by log6 base 5 multiplied by log7 base 6 multiplied by log8 base 7. the answer is 3 but i do not understand how they came to this solution. \n" ); document.write( "
Algebra.Com's Answer #97606 by stanbon(75887)\"\" \"About 
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find the value of log3 base 2 multiplied by log4 base 3 multiplied by log5 base 4 multiplied by log6 base 5 multiplied by log7 base 6 multiplied by log8 base 7. the answer is 3
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\n" ); document.write( "Rule: log(base a) b = [log b]/[log a]
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\n" ); document.write( "Your Problem:
\n" ); document.write( "[log3/log2]
\n" ); document.write( "You see that a bunch of the numerators cancel with a bunch of the denominators
\n" ); document.write( "leaving you with log8/log2.
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\n" ); document.write( "This is true for any base, so let the base be \"2\".
\n" ); document.write( "Then you get [log(base2) 8 / log(base 2) 2] = 3/1 = 3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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