A) \[2x+\frac{2}{3}y-\frac{1}{3}z\]
B) \[2x+\frac{2}{3}y+\frac{1}{3}z\]
C) \[2x-\frac{2}{3}y+\frac{1}{3}z\]
D) \[3x+\frac{1}{3}y+\frac{1}{3}z\]
Correct Answer: D
Solution :
(d): \[log(8\sqrt[3]{21})=log8+log(\sqrt[3]{21})\] \[log8+log{{\left( 21 \right)}^{1/3}}=log\left( {{2}^{3}} \right)+log{{(7\times 3)}^{1/3}}\] \[=3\log 2+\frac{1}{3}\log 7+\frac{2}{3}\log 3=3x+\frac{1}{3}z+\frac{2}{3}y.\]
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