Solve for the real domain
\(3^b = 17\)
if f(x) = g(x) , then ln (f(x)) = ln (g(x))
\(ln ( 3^b) = ln (17)\)
\(log _{a} (x^b) = b*log _{a} (x)\)
\(ln(3^b) = bln(3)\)
\(bln(3) = ln (17)\)
Solve \(bln(3) = ln (17)\)
\(b = \frac{ln(17)}{ln(3)}\)
hope this helps !.