SOLUTION: need help with this problem. instructor did not cover it. find the value of log3 base 2 multiplied by log4 base 3 multiplied by log5 base 4 multiplied by log6 base 5 multiplied by

Question 133420This question is from textbook
: need help with this problem. instructor did not cover it.
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. This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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Rule: log(base a) b = [log b]/[log a]
------------------------
Your Problem:
[log3/log2]
You see that a bunch of the numerators cancel with a bunch of the denominators
leaving you with log8/log2.
----------------------------
This is true for any base, so let the base be "2".
Then you get [log(base2) 8 / log(base 2) 2] = 3/1 = 3
============================
Cheers,
Stan H.

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