Answer
$x\approx2.150$
Work Step by Step
$3^{x+1}=5^{x}$
$\ln 3^{x+1} = \ln 5^{x}$
$(x+1) \ln 3 = x\ln 5$
$(\ln 3)x + \ln 3= x\ln 5 $
$\ln 3 = (\ln 5)x - (\ln 3)x $
$x = \frac{\ln 3}{\ln 5 - \ln3} $
$x\approx2.150$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.