If a, b, c are in geometric progression, then \log_{ax} x, \log_{bx} x and \log_{cx} x are in;

Correct Answer is : Harmonic progression.

Arithmetico-geometric progression

NIMCET 2015 Question Paper with solutions

Question : 21 of 120

Marks: +1, -0

If a, b, c are in geometric progression, then

\log_{ax}

\log_{bx}

x and

\log_{cx}

x are in;

Arithmetic progression.
Geometric progression.
Harmonic progression.
Arithmetico-geometric progression

Validate

Solution:

Since, a, b and c are in GP
∴ ax, bx and cx will also In GP and log ax, log bx and log cx are in AP
[∵a, b, c are in AP, then log a and log b and logo are in AP]
Hence

\log_{ax}x,\log_{bx}x

and

\log_{cx}x

are in AP

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