TMUA Y and A Tutoring Paper 2 with Answers and Hints · Question 12

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Y and A Tutoring Paper 2 with Answers and Hints · Q12

Paper 2Powers & logarithmsAlgebra

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 (*)?

I $\log_a x=x$

II $a^{2x}=x^2$

III $a^{2x}=2x$

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

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