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
specifies \(a\) uniquely.
is satisfied by two values of \(a\).
is satisfied by infinitely many values of \(a\).
Could we rewrite the equations using powers rather than logarithms?