A) \[2\,\text{log}\,2+3\,\text{log}\,3\]
B) \[~3\,\text{log}\,2+2\,\text{log}\,3\]
C) \[3\,\text{log}2+2\,\text{log}\,3-\text{log}\,5\]
D) \[5\,\text{log}\,2+\text{log}\,5\]
Correct Answer: D
Solution :
(d): \[160=2\times 2\times 2\times 2\times 2\times 5\] So, So, \[log160=log\left( {{2}^{5}}\times 5 \right)=log{{2}^{5}}+log5\] \[51og2+log5\]
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