If A-logp p- logp1-2p- logp1-3p-logp1-4p- logp1-5p- logp1-6p- what will be the value of A-

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Standard X

Mathematics

Properties of Logarithms

If A=logp p× ...

Question

If A= ${log}_{p} p \times l o g_{p^{(1 / 2})} p \times l o g_{p^{(1 / 3})} p \times$ $l o g_{p^{(1 / 4})} p \times l o g_{p^{(1 / 5})} p \times l o g_{p^{(1 / 6})} p,$ what will be the value of A?

120

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420

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720

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480

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Solution

The correct option is C 720

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If A=logpp×logp(1/2)p×logp(1/3)p×logp(1/4)p×logp(1/5)p×logp(1/6)p, what will be the value of A?

The correct option is C 720

If A= ${log}_{p} p \times l o g_{p^{(1 / 2})} p \times l o g_{p^{(1 / 3})} p \times$ $l o g_{p^{(1 / 4})} p \times l o g_{p^{(1 / 5})} p \times l o g_{p^{(1 / 6})} p,$ what will be the value of A?