TMUA 2021 Paper 2 Q14 — Worked Solution

P2·Indices, Logarithms & Exponentials, Algebra & Surds·6.5Official · 2021 · Q14

simultaneous-equationssubstitutionrange-of-validity

Consider the following simultaneous equations, where

p

is a real number:

p 2^{x} + lo g_{2} y = 2,

2^{x} + lo g_{2} y = 1.

What is the complete range of

p

for which these simultaneous equations have a real solution

(x, y)

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.