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Algebra Level 2

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

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


The answer is -3.

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