Question

3^b=17 exponentials into log form

Answer 1

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 = (ln(17))/(ln(3))`

hope this helps !.