A) 0.902
B) \[\overline{2}.146\]
C) 3.444
D) \[\overline{1}.1\text{ }46\]
Correct Answer: C
Solution :
(c): \[log\left( 0.37 \right)=\overline{1}.756\Rightarrow log37=1.756\] \[\therefore log37+log{{(0.37)}^{3}}+log\sqrt{0.37}\] \[=log37+3\,log\left( \frac{37}{100} \right)+log{{\left( \frac{37}{100} \right)}^{1/2}}\] \[=log37+3\,log37-3\,log100+\frac{1}{2}log37-\frac{1}{2}log100\] \[=\frac{9}{2}log37-\frac{7}{2}log100=\frac{9}{2}\times 1.756-\frac{7}{2}\times 2\] \[=7.902-7=0.902\]
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