In which of the following case(s) the real number 'm' is greater than the real number 'n' ?

A . m = {({l o g}_{2} 5)}^{2} a n d n = {l o g}_{2} 20

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B . m = {l o g}_{10} 2 a n d n = {l o g}_{10} \sqrt[3]{10}

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C . m = {l o g}_{10} 5. {l o g}_{10} 20 + {({l o g}_{10} 2)}^{2} a n d n = 1

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D . m = {l o g}_{1 / 2} (\frac{1}{3}) a n d n = {l o g}_{1 / 3} (\frac{1}{2})

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Solution

The correct options are
B $B . m = {l o g}_{10} 2 a n d n = {l o g}_{10} \sqrt[3]{10}$
C $C . m = {l o g}_{10} 5. {l o g}_{10} 20 + {({l o g}_{10} 2)}^{2} a n d n = 1$

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