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 ->  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


   



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(69443) About Me  (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))
= log%282%2C%28375%2Asqrt%286%29%29%2F2%29