If a, b, c are in G.P. and logc a, logb c, loga b are in A.P., then the common difference on the A.P. is
If a, b, c are in G.P. and logc a, logb c, loga b are in A.P., then the common difference on the A.P. is
ayushi , 8 Years ago
Grade 12th pass
Algebra> If a, b, c are in G.P. and logc a, logb c...
1 AnswersVikas TU
Last Activity: 8 Years ago
Dear Student,
a, b, c are in GP => b2 = ac -------(1)
Also log (ac) + log(ab) = 2log(bc)
- Log(a2bc) = log (b2c2)
- a2bc = b2c2
- a2 = bc ------(2)
from 1 and 2 , a=b
common difference of AP = log(ac/bc) = log(a/b) = log(1)
= 0
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)
Thapar University)
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