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which is smaller?2 or (log 2 base e invers+log e invers Base 2
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Asked by avulasahithireddy2003 | 23 Apr, 2020, 11:46: AM
answered-by-expert Expert Answer
To find the smallest among 2 and (log 2 base e inverse + log e inverse Base 2)
log subscript e to the power of negative 1 end exponent end subscript space 2 space plus thin space log subscript 2 space e to the power of negative 1 end exponent subscript blank equals fraction numerator log space 2 over denominator log space e to the power of negative 1 end exponent end fraction space plus thin space fraction numerator log space e to the power of negative 1 end exponent over denominator log space 2 end fraction equals fraction numerator log space 2 over denominator negative log space e end fraction plus fraction numerator open parentheses negative log space e close parentheses over denominator log space 2 end fraction equals negative fraction numerator log space 2 over denominator log space e end fraction space minus space fraction numerator log space e over denominator log space 2 end fraction equals negative log space 2 space minus space fraction numerator 1 over denominator log space 2 end fraction equals negative open parentheses log space 2 space plus space fraction numerator 1 over denominator log space 2 end fraction close parentheses equals negative open parentheses 0.3010 plus 3.3219 close parentheses equals negative 3.622 H e n c e comma space 2 greater than log subscript e to the power of negative 1 end exponent end subscript space 2 space plus thin space log subscript 2 space e to the power of negative 1 end exponent log subscript e to the power of negative 1 end exponent end subscript space 2 space plus thin space log subscript 2 space e to the power of negative 1 end exponent space i s space s m a l l e r.
Answered by Renu Varma | 23 Apr, 2020, 12:04: PM

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