I need to state a value of \(x\) so that \({log_3 x}\) is:
a) a positive integer
b) a negative integer
c) a rational number
How should I do this? I tried using its exponential form (\({3^x}\)) but it's not helpful...
My guess for c) is that x > 0 since rational numbers include all positive and negative numbers, zero, and fractions, and x must be greater than 0 because of the asymptote.
