Review question

# When does this inequality have a finite number of integer solutions? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6414

## Question

Let $a$, $b$, $c$ be positive numbers. There are finitely many positive whole numbers $x$, $y$ which satisfy the inequality $a^x > cb^y$ if
1. $a>1$ or $b<1$.
2. $a<1$ or $b<1$.
3. $a<1$ and $b<1$.
4. $a<1$ and $b>1$.