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Question

Which is the correct order for a given number α in increasing order?


A

log2 α, log3 α, loge α, log10 α

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B

log10 α, log3 α, loge α, log2 α

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C

log10 α, loge α, log2 α, log3 α

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D

log3 α, loge α, log2 α, log10 α

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Solution

The correct option is B

log10 α, log3 α, loge α, log2 α


Since 10, 3, e, 2 are in decreasing order, hence
log10 α, log3 α, loge α, log2 α are in increasing order.


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