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

In the exponent (or index)

$x = y$

Exponential functions are one-to-one

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

Always positive: $a^x > 0$

Stays the same: $x > y$

Reverses: $x < y$

Function is decreasing, not increasing

$25 = 5^2$

Those giving negative exponential values