# 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.Please help

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log 120^10 + log 120^12

(Which I am taking to mean `log120^10+log120^12`

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10 log 120 + 12 log 120

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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.