Simplify 2log 25 2 5 - log72125 72 125 + log 9

Simplify 2log $\frac{2}{5}$ - log$\frac{72}{125}$ + log 9

Answer Details

2log $\frac{2}{5}$ - log$\frac{72}{125}$ + log 9
[$\frac{2}{5}$)2 x 9] = log $\frac{4}{25}$ x $\frac{9}{1}$ x $\frac{125}{72}$
= log $\frac{72}{125}$
= log $\frac{5}{2}$
= log $\frac{10}{4}$
= log 10 - log 4
= log10 10 - log10 22
= 1 - 2 log2