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If log103 ≈ 0.4771, evaluate log100.0003.
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If log103 ≈ 0.4771,
evaluate log100.0003.

User Thorsan
by
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1 Answer

3 votes

Answer:

  • -3.5229

--------------------------------

Given


  • log_(10)3=0.4771

Find


  • log_(10)0.0003

Solve in steps


  • log_(10)0.0003 =

  • log_(10)(3*10^(-4))=

  • log_(10)3+log_(10)10^(-4)=

  • log_(10)3+(-4)log_(10)10=

  • log_(10)3-4*1=

  • 0.4771-4=

  • -3.5229
User Sofiya
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