Linked logarithmic statements

Linked logarithmic statements

5 marks
TGM Original
Given a>0, a 1, log_a b=-2 and log_b c=3, express c as a power of a. Explain why the second logarithm has a valid base.

Solution:

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Answer:\(c=a^{-6}\); \(b>0\) and \(b\ne1\).

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