TMUA Official 2018 Paper 2 · Question 11

Consider the equation $2^x=mx+c$ , where $m$ and $c$ are real constants.

Which of the following statements is/are true?

I The equation has a negative real solution only if $c>1$ .
II The equation has two distinct real solutions if $c>1$ .
III The equation has two distinct positive real solutions if and only if $c\leq1$ .

Anone of them

BI only

CII only

DIII only

EI and II only

FI and III only

GII and III only

HI, II and III

examday