0

Guest

Courses New

if logx a, logx b, logx c, are in AP, prove it a, b, c are in GP

if logx a, logx b, logx c, are in AP, prove it a, b, c are in GP
 

Grade:12th pass

2 Answers

Sudipan Datta
34 Points
6 years ago
If log a,log b and log c are in A.P then,
Using property of AP,
2log b=log a+log c
or, log b^2 = log (ac)
or, b^2 = ac
The resultant expression is the general expression of G.P.
Therefore a,b,c are in G.P
Shailendra Kumar Sharma
188 Points
6 years ago
Loga logb logc are in AP i.e. 2logb=loga + logcNow that gives logb^2=log(a*c)Thus takin both sides on x power gives b^2 =acThat proves a,b,c are in GP

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More