Exponential Equations (Grade 10 NSC Matric Mathematics): Flashcards

Unknown variable appears in the exponent

$x = y$ (when $a > 0$ and $a \neq 1$)

$1$ for any non-zero $a$

Express both sides with same base, equate exponents

When multiple terms share the same base

Substitution to create a quadratic equation

Always positive: $a^x > 0$

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

$x$ and $y$ can differ since $1^n = 1$ for any $n$

Can both sides be expressed using same base?