It is given that

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

It is given that log⁡10a=13\log_{10}a=\frac{1}{3}, where a>0a>0. Find the value of (1) log⁡10(1a)\log_{10}\left(\frac{1}{a}\right). (2) log⁡1000a\log_{1000}a.

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