Answer :
We know when three terms say a,b,c are in GP
We can write
b2 = a.c
∴ According to the given data
We can write
(ax/2)2 = logxa . logbx
ax = logxa . logbx
⇒
⇒ ax = logba
Multiplying by loga to both sides we get
⇒ loga (ax) = loga (logba)
⇒ x logaa = loga (logba)
⇒ x = loga (logba)
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