anonymous
  • anonymous
solve. then round answer to the nearest hundredth. log_5x=3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@dpflan ?
anonymous
  • anonymous
\[log_5x=3\]Is that the equation?
anonymous
  • anonymous
yess

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anonymous
  • anonymous
\[log_ab=x\] OK, this means, the number you raise a to in order to obtain x is b. so \[a^x = b\]
anonymous
  • anonymous
ok..
anonymous
  • anonymous
would it be x = 5^3 = 125?
anonymous
  • anonymous
\[log_5x=3\] Is \[5^3 = x\]... Yeah you got it
anonymous
  • anonymous
what is 125 to the nearest..?
anonymous
  • anonymous
\[125 = 125.00000...\]
anonymous
  • anonymous
just like the last one ;)
anonymous
  • anonymous
what would 35 be rounded to the hundredth? 35.000?
anonymous
  • anonymous
?
anonymous
  • anonymous
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
anonymous
  • anonymous
so just two points to the right would be to the nearest hundrdeth
anonymous
  • anonymous
cool..it didnt have anything to do with the previous question..
anonymous
  • anonymous
i just wanted to know what 35 rounded to the nearest hundredth would be
anonymous
  • anonymous
It's actually kind of cool, you use any number as the base. So if you have 123.456, then you have \[1*10^3 + 2*10^1 + 2*10^0 + 4*10^{-1} + 5*10^{-2} + 6*10^{-3}\]
anonymous
  • anonymous
At least in the decimal system
anonymous
  • anonymous
is that for 35?
anonymous
  • anonymous
No, 35 is 35.00

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