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Question Number 131457 by pete last updated on 04/Feb/21

Find x in the equation 3^(x+1) = 4^(x−1)

Findxintheequation3x+1=4x−1

Answered by bramlexs22 last updated on 05/Feb/21

⇔ (x+1) ln 3 = (x−1)ln 4 ⇔ x(ln 3−ln 4) = −ln 4−ln 3 ⇔ x(ln 4−ln 3)=ln 4+ln 3 ⇔ x = ((ln 12)/(ln ((4/3)))) = log _(((4/3))) (12)

⇔(x+1)ln3=(x−1)ln4⇔x(ln3−ln4)=−ln4−ln3⇔x(ln4−ln3)=ln4+ln3⇔x=ln12ln(43)=log(43)(12)

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