# Keeping tabs

Algebra Level 2

Let us assume that $$35.1258 \times 0.4111$$ equals to $$14.4402$$ up to 6 significant figures.

For some constant $$a$$, if $$0.0351258 \times 4111 \times a$$ equals to $$0.144402$$ up to 6 significant figures, find the value of $$\log_{10} a$$.

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