Find the inverse function if: 9^x =2e^(x^2)

Alexandra Richardson 2022-07-26 Answered
Find the inverse function if:
9 x = 2 e x 2
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Answers (1)

umgangistbf
Answered 2022-07-27 Author has 12 answers
9 x = 2 e x 2
9 x = 2 e x 2
ln ( 9 x ) = ln ( 2 e x 2 )
x ( ln ( 9 ) ) = ln ( 2 ) + ln ( e x 2 )
x ( ln ( 9 ) ) = ln ( 2 ) + x 2
x 2 ln ( 9 ) x + ln ( 2 ) = 0
now solve using quadratic formula you get
x = ln ( 9 ) + [ ( ln 9 ) 2 4 ( 1 ) ( ln ( 2 ) ) ] 2
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