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Simplify 2log 2/5 -log72/125 + log 9
A.
1 - 4 log3
B.
-1 + 2 log 3
C.
-1 + 5 log2
D.
1 - 2log 2
Correct Answer:
1 - 2log 2
Explanation
2log 2/5 - log72/125 + log 9 [2/5)2 x 9] = log 4/25 x 9/1 x 125/72 = log 72/125 = log 5/2= log 10/4 = log 10 - log 4 = log10 - log2
2
= 1 - 2 log2
2log 2/5 - log72/125 + log 9 [2/5)2 x 9] = log 4/25 x 9/1 x 125/72 = log 72/125 = log 5/2= log 10/4 = log 10 - log 4 = log10 - log2
2
= 1 - 2 log2
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