the0limonator11 the0limonator11
  • 21-05-2020
  • Mathematics
contestada

The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2

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nuuk nuuk
  • 29-05-2020

Answer:

Step-by-step explanation:

Given

[tex]\log _{10}\ 50=1.69897[/tex]

and we know that

[tex]\log _a\ a=1[/tex]

therefore

[tex]\Rightarrow \log _{10}\ 10=1[/tex]

and [tex]\Rightarrow \log _{10}\ 100=\log _{10}\ 10^2=2[/tex]

and [tex]50[/tex] lies between [tex]10[/tex] and [tex]100[/tex] . So, its value must lie between [tex]1[/tex] and [tex]2[/tex]

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