English translation please in math

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Homework Help Overview

The problem involves understanding number bases in mathematics, specifically determining the base in which the number 121 represents the same value as the decimal number 324.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of number bases and how to interpret the given numbers in different bases. One participant attempts to express 121 in terms of an unknown base and equate it to 324 in decimal.

Discussion Status

The discussion is exploring the relationship between different number bases and how to set up the equation to find the unknown base. Some participants have provided clarifications about what the base of a number system means.

Contextual Notes

There may be assumptions about familiarity with number bases and the need for clarity on how to convert between them. The original poster expresses confusion about the problem statement.

marcuss
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Base of the system problems, please help

What is the base of the system in which 121 represents the same number as the decimal number 324?






I need someone to tell what this thing is saying thank you.
 
Last edited:
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The base of the system is referring to base of the number system. i.e. base 2 is binary and base 10 is the decimal system that we usually use.

It is telling you that 324 is a decimal number so it is the normal numbers you work with, but 121 is not. You need to find what base it is in.
 
If b is the base, then 121 (base b) represents 1*b^2 + 2*b + 1, which has to equal 324 (base 10).
 
many thanks to both of u
 

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