# SOLUTION: log subscript 8 square root 80 - log subscript 8 square root 5

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 Click here to see ALL problems on logarithm Question 196625: log subscript 8 square root 80 - log subscript 8 square root 5Found 2 solutions by scott8148, jim_thompson5910:Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!subtracting logs means dividing their arguments log subscript 8 [(square root 80)/(square root 5)] log subscript 8 [square root (80/5)] log subscript 8 [square root (16)] log subscript 8 (4) 4 is 2^2 and 8 is 2^3 ___ so 4 = 8^(2/3) log subscript 8 (4) = 2/3 Answer by jim_thompson5910(28715)   (Show Source): You can put this solution on YOUR website! ... Start with the given expression. ... Combine the logs using the identity . ... Factor 80 into 16*5. ... Break up the square root. ... Take the square root of 16 to get 4. ... Reduce ... Use the change of base formula Remember the change of base formula is ... Rewrite each argument as a power of 2 ... Pull down the exponents using the identity ... Cancel out the common terms. So