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