Which is the correct order for a given number αin increasing order
A
log2α,log3α,logeα,log10α
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B
log10α,log3α,logeα,log2α
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C
log10α,logeα,log2α,log3α
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D
log3α,logeα,log2α,log10α
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Solution
The correct option is Blog10α,log3α,logeα,log2α Since 10, 3, e, 2 are in decreasing order. Obviously, log10α,log3α,logeα,log2α are in increasing order.