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Find the exact value of the following logarithm without using a calculator use the...

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libbysimone | Salutatorian

Posted January 11, 2012 at 9:02 AM via web

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Find the exact value of the following logarithm without using a calculator use the proper logarithms log 120^10+log 120^12 show all of your work.

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nathanshields | High School Teacher | (Level 1) Associate Educator

Posted January 11, 2012 at 9:09 AM (Answer #1)

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log 120^10 + log 120^12
(Which I am taking to mean `log120^10+log120^12`
=
10 log 120 + 12 log 120
=
22 log 120

Since common log has base 10, log 120 be something a little more than 2 (log 100 = 2)... and it will be irrational.  22 log 120 is exact.

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