An algebra problem by Keerthi Reddy

Algebra Level 2

\[ \log\left( \dfrac {a^2}b \right), \ \log \left( \dfrac{a^3}{b^2} \right), \ \log \left(\dfrac{a^4}{b^3} \right), \ \ldots \]

Can the sequence above form a arithmetic progression (in that order)? If yes, what is its common difference?

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