Question

If log a ^ k, log b^ k, log c^ k be three consecutive terms of an A.P. then prove that, c^2 = (ac)loga ^ b​

Answer 1

Answer:

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)log(b2)=log(ac)

so b2=acb2=ac

Hence they form a Geometric Progression

Step-by-step explanation:

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