SOLUTION: express log27 - log1/9 + (log51 - log17 over log81 - 2log3) + 4log1/3 + 3log3 in its simplest form

Question 710592: express
log27 - log1/9 + (log51 - log17 over log81 - 2log3) + 4log1/3 + 3log3
in its simplest form
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
log 3^3 -log 3^-2 + (log 51 -log 17 over log 81- log 3^2)+ 4 log 3^-1 + log 3^3
=log (3^3/3^-2) + (log 51/17 over log (81/9)) + log 3^-4 +log 3^3
= log 3^5 + log (3) over 2 log 3 )+ log (3^-4 *3^3)
= log 3^5 + log 3 /2 log 3 + log (3^(-4+3))
=log 3^5 + 1/2 +log 3^-1
= 5 log 3 +1/2 -log 3
=4log 3 +0.5
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