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anonymous
 one year ago
In some number base b, the number 121 is equal to the decimal (base10) number 324. Calculate b.
anonymous
 one year ago
In some number base b, the number 121 is equal to the decimal (base10) number 324. Calculate b.

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amilapsn
 one year ago
Best ResponseYou've already chosen the best response.1By solving this you can find \(b\): \[1\times b^2+2\times b^1+1\times b^0=324_{10}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.3to make the problem look more familiar, remember any base to the 0 power is 1 \( b^0= 1\) rather than b let's use x (again to make this look familiar) then amilapsn expression can be written as \[ x^2 +2x +1 = 324\\ x^2 +2x323= 0\] it is a bit ugly, but it does factor. (hint: divide 17 into 323)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay but I'm not quite understanding how you guys got that formula...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the x^2 + 2x + 1 = 324 part...

phi
 one year ago
Best ResponseYou've already chosen the best response.3a number to the base x is by definition (which means you have to memorize this) has digits that represent powers of base x for example, if you have 3 digits (in base x) abc that means a*x^2 + b*x^1 + c*x^0 for example, 123 in base 10 means 1*10^2 + 2*10^1 + 3*10^0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much (:
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