# SOLUTION: Mr. Logarithmic is showing his class a solution to a problem. Is Mr. Logarithmic correct? Explain and correct if he is incorrect. Express 2log25 - log2(4/5) + 1/2log216 as a single

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Mr. Logarithmic is showing his class a solution to a problem. Is Mr. Logarithmic correct? Explain and correct if he is incorrect. Express 2log25 - log2(4/5) + 1/2log216 as a single      Log On

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 Question 193635: Mr. Logarithmic is showing his class a solution to a problem. Is Mr. Logarithmic correct? Explain and correct if he is incorrect. Express 2log25 - log2(4/5) + 1/2log216 as a single logarithm = 2log25 - log2(4/5) + 1/2log216 = log252 - log2(4/5) + log2(16/2) = log225 - log2(4/5) + log2(8) = log2(25 × 4/5 × 8) Answer by Alan3354(31537)   (Show Source): You can put this solution on YOUR website!Express 2log25 - log2(4/5) + 1/2log216 as a single logarithm ---------------- Is it base 2? If so, = log(25 /(4/5)) + log(sqrt(216)) = log((125/4)*sqrt(216)) = log((750/4)*sqrt(6)) =