Problema Solution

Consider the base x number, 23x.

a) Derive the relevant algebraic expression for x.

b) Using your algebraic expression found in part (a), find the value of x such that: 23x=101four

Answer provided by our tutors

we interpret "101four" to be "101, base-4"


a) 23x = 2*x^1 + 2*x^0 = 2x+2

b)

we translate 23x: 2x + 2

we translate 101four: 1*4^2 + 0*4^1 + 1 = 17

we solve:

2x + 2 = 17

2x = 15

x = 15/2