there is 3 numbers a,b and c in geometric progression such that )(log a + log b +logc)/log 6 =6
how many solution are possible
1 8
2 9
3 35
4 not

• log(abc)=6log6
  so abc=6^6 but in gp ac==b*b=b^2
  so b^3=36^3
  so b =36 and ac=36*36
  so no. of possibles=factors of 36=(1,36),(2,18),(3,12),(4,9)and reverse of these and(6,6)=9.
• 10 years agoHelpfull: Yes(5) No(4)