Review question

Can we solve these three simultaneous log equations? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5462

Question

Three positive numbers $a$, $b$, $c$ satisfy $\log_b a = 2, \qquad \log_b (c-3) = 3, \qquad \log_a (c+5) = 2.$ This information

1. specifies $a$ uniquely.

2. is satisfied by two values of $a$.

3. is satisfied by infinitely many values of $a$.