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Question

If ax=by=cz & y2=xz, then the value of logba will be
  1. logcb
  2. logbc
  3. alogcb
  4. None of these

A
logcb
B
logbc
C
alogcb
D
None of these
Solution
Verified by Toppr

Letax=by=cz=PlogaP=xlogbP=ylogcP=zy2=xzSologbPlogbP=logaPlogcPAssuming base P, we getlogPlogb×logPlogb=logPlogalogPlogcSo we can write1logb1logb=1loga1logclogalogb=logblogc

logba=logcb

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