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soldier1979 [14.2K]
3 years ago
14

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

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
e^{3x}+16=8\ \ \ |-16\\\\e^{3x}=-8\ \ \ FALSE\\\\x\in\O\ \ \ /no\ solution/

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}

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