Simplify 2log frac 2 5 - log frac 72 125 log 9 - JAMB Mathematics 1991 Question
Simplify 2log (\frac{2}{5}) - log(\frac{72}{125}) + log 9
A
1 - 4 log3
B
-1 + 2 log 3
C
-1 + 5 log2
D
1 - 2log 2
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Correct Option: D
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
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