TMUA 2023 Paper 2 Q6 — Worked Solution

P2·Indices, Logarithms & Exponentials·6.5Official · 2023 · Q6

same-solution-countlogarithmssquaring

Consider the following equation where

a

is a real number and

a > 1

(*) a^{x} = x .

Which of the following equations must have the same number of real solutions as

(*)

lo g_{a} x = x

a^{2 x} = x^{2}

III

a^{2 x} = 2 x

Discussion

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