SOLUTION: If Log 5= m and Log 7=n, determine log 35/10 (35 over 10) in terms of m and n. When I tried by myself I got (m+n)/10, according to the correct answer I should have m+n-1. Tha

Question 763168: If Log 5= m and Log 7=n, determine log 35/10 (35 over 10) in terms of m and n.
When I tried by myself I got (m+n)/10, according to the correct answer I should have m+n-1.
Thank you for the help!
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
I'm assuming the logarithms m and n are to the base 10.
Applying the basic laws of logs i.e.
Log (A*B) = Log A + log B
Log (A/B) = Log A - Log B

log (35/10) = log 35 - log 10
= log (5*7) - log 10
= log 5 + log 7 - log 10
= m + n - 1 (because log 10 to the base 10 = 1)
So the correct answer is indeed

:)
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