0.00000042=4.2 10^x then x = ?
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if log (x) = -6.37, then how is x=4.2 × 10^-7?
Assuming the log is in base 10 — typical in the U.S., and also necessary to reach the above solution in this problem — then the following two statements are equivalent, by definition:
log10x=−6.37
x=10−6.37
Evaluating the latter yields
x=0.000000426579519
x≈4.3×10−7
To verify the answer, evaluating log10(4.3×10−7) yields approximately -6.37, as in the question.
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