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kurrienewt kurrienewt
  • 11-01-2016
  • Mathematics
Answered

3^b=17 exponentials into log form

Verified Answer :

Willchemistry
Willchemistry Willchemistry
  • 11-01-2016

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 !.

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