Problema Solution
Consider the base x number, 23x.
a) Derive the relevant algebraic expression for x.
b) What are the restrictions on x such that 23x is a valid number base x? As in, what values could x have? What values could x not have?
Answer provided by our tutors
a) 23x can be expressed as "2 * x^2 + 3x"
b) any digit in a number of base 'x' must be less than x and greater than or equal to zero, hence the domain for digits of base x would be [0, x)
a corrected answer:
a) 23x can be expressed as "2 * x^1 + 3 * x^0"
b) any digit in a number of base 'x' must be less than x and greater than or equal to zero, hence the domain for digits of base x would be [0, x)