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| Math Central | Quandaries & Queries |
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Question from Malith, a student: determine the value of base x of (211)x = (152)8 please mentioned the steps |
Hi,
Convert $152_8$ to base 10 by writing
\[152_8 = 1 \times 8^2 + 5 \times 8 + 2.\]
Using the same method convert $211_x$ to base 10. Since yo know that $211_x = 152_8$ you can now solve for $x.$
Penny
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