Solving Exponential Equations and Inequalities (VCE SSCE Mathematical Methods): Quizzes

Unknown variable in the exponent

$x = y$

$27 = 3^3$

$x = 4$

When equation has both $a^{2x}$ and $a^x$

$a^x > 0$ for all real $x$

Only $3^x = 3$ (so $x = 1$)

$x > \frac{1}{4}$

$x < y$

The exponential function is decreasing