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If-log-12-18-a-find-log-24-16-in-term-of-a-




Question Number 34301 by math1967 last updated on 03/May/18
If log_(12) 18=a ,find log_(24) 16 in term  of  a
Iflog1218=a,findlog2416intermofa
Answered by MJS last updated on 03/May/18
12^a =18  a=((ln 18)/(2ln 2+ln 3))  ((ln 18)/a)=2ln 2+ln 3  24^b =16  b=((ln 16)/(3ln 2+ln 3))  ((ln 16)/b)=3ln 2+ln 3  ((ln 16)/b)=((ln 18+aln 2)/a)  b=((aln 16)/(ln 18+aln 2))
12a=18a=ln182ln2+ln3ln18a=2ln2+ln324b=16b=ln163ln2+ln3ln16b=3ln2+ln3ln16b=ln18+aln2ab=aln16ln18+aln2

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