1. if a,b,c,d are in ap then log a to base x, log b to base x, log c to base x are in ?
2.the value of (1/sq root27)^2-(log16 base5/ 2log9 base5)
Only one question per upload.
Solving the first one
We can say for sure that if log a, log b, log c, are in Arithmetic Progression then, a,b, c are in Geometric Progression
Since log a, log b, log c are in AP
2log b=log a + log c
log(b²)=log(ac)
so b²=ac
Hence they form a Geometric Progression