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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.
Obviously, log10 α, log3 α, loge α, log2 α are in increasing order.

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