What is the value of x if e^3x+16=8

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14-06-2018
Mathematics

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What is the value of x if e^3x+16=8

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gmany gmany · Answer 1 · 2018-06-14T21:54:35+02:00

gmany gmany

14-06-2018

[tex]e^{3x}+16=8\ \ \ |-16\\\\e^{3x}=-8\ \ \ FALSE\\\\x\in\O\ \ \ /no\ solution/[/tex]

[tex]If\ e^{3x+16}=8\ \ \ \ |\ln\\\\\ln e^{3x+16}=\ln8\\\\(3x+16)\ln e=\ln8\\\\3x+16=\ln8\ \ \ |-16\\\\3x=\ln8-16\ \ \ |:3\\\\x=\dfrac{\ln8-16}{3}[/tex]

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