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coolaidd Group Title

solve. then round answer to the nearest hundredth. log_5x=3

  • 2 years ago
  • 2 years ago

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  1. coolaidd Group Title
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    @dpflan ?

    • 2 years ago
  2. dpflan Group Title
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    \[log_5x=3\]Is that the equation?

    • 2 years ago
  3. coolaidd Group Title
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    yess

    • 2 years ago
  4. dpflan Group Title
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    \[log_ab=x\] OK, this means, the number you raise a to in order to obtain x is b. so \[a^x = b\]

    • 2 years ago
  5. coolaidd Group Title
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    ok..

    • 2 years ago
  6. coolaidd Group Title
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    would it be x = 5^3 = 125?

    • 2 years ago
  7. dpflan Group Title
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    \[log_5x=3\] Is \[5^3 = x\]... Yeah you got it

    • 2 years ago
  8. coolaidd Group Title
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    what is 125 to the nearest..?

    • 2 years ago
  9. dpflan Group Title
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    \[125 = 125.00000...\]

    • 2 years ago
  10. dpflan Group Title
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    just like the last one ;)

    • 2 years ago
  11. coolaidd Group Title
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    what would 35 be rounded to the hundredth? 35.000?

    • 2 years ago
  12. coolaidd Group Title
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    ?

    • 2 years ago
  13. dpflan Group Title
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    Actually, no, you need one less 0. Using the decimal system, the values to the right of the decimal are fractional amounts with respect the base for the system, which is 10 here. So the first place would be \[10^{-1}\] which is 1/10, the second place is \[10^{-2}\] which is \[\frac{1}{10^2}=\frac{1}{100}\] , this that is the "hundredths" place

    • 2 years ago
  14. dpflan Group Title
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    so just two points to the right would be to the nearest hundrdeth

    • 2 years ago
  15. coolaidd Group Title
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    cool..it didnt have anything to do with the previous question..

    • 2 years ago
  16. coolaidd Group Title
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    i just wanted to know what 35 rounded to the nearest hundredth would be

    • 2 years ago
  17. dpflan Group Title
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    It's actually kind of cool, you use any number as the base. So if you have 123.456, then you have \[1*10^3 + 2*10^1 + 2*10^0 + 4*10^{-1} + 5*10^{-2} + 6*10^{-3}\]

    • 2 years ago
  18. dpflan Group Title
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    At least in the decimal system

    • 2 years ago
  19. coolaidd Group Title
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    is that for 35?

    • 2 years ago
  20. dpflan Group Title
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    No, 35 is 35.00

    • 2 years ago
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