If a, b, c are in geometric progression, then log_ax x, log_bx x and log_cx x are in

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NIMCET 2015 Official Paper

Answer 1

Concept:

If a, b, c are in geometric progression then b² = ac

If b - a = c - b, than a, b, c are in AP.

If 1/a, 1/b, 1/c are in AP than a, b, c are in HP.

Calculation:

If a, b, c are in geometric progression then b2 = ac

So, by multiplying both side by x² and taking log on both side to the base x

so logx ax, logx bx and logx cx are in AP.

are also in AP

are in HP

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