. 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 simple logarithm = 2log25 - log2(4/5) + 1/2log216 = log152-log2(4/5) + log2(16/2) = log225 - log2(4/5)+ log2(8) = log2 (25 x 4/5 x 8)

So, from my understanding, the solution is incorrect the correct solution according to my calculations is:'

2log25 - log2(4/5) + 1/2log216

log225 - log2(4/5) + log24

Therefore, we get:

log2 (25/(4/5) X 4)

I'm really confused here. Is my working/solution correct for the simplification of the logarithm? Any helpful tips/suggestions would be greatly appreciated.

Thanks!