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.

Guest Apr 23, 2019

edited by
Guest
Apr 23, 2019

edited by Guest Apr 23, 2019

edited by Guest Apr 23, 2019