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anonymous
 one year ago
Solve 7 In(3x+2)8=6
anonymous
 one year ago
Solve 7 In(3x+2)8=6

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UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0add 8 to both sides

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0now divide both sides by 7

alphabeta
 one year ago
Best ResponseYou've already chosen the best response.2Guess you could calculate it like this? (Anyone, please correct me if I'm wrong.) 7ln(3x+2)8=6 7ln(3x+2)=14 ln(3x+2)=2 e^ln(3x+2)=e^2 3x+2=e^2 3x=(e^2)2 x= ((e^2)2)/3 x=1.79635... (value I got on my calculator)

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0to check our answer:\[7\ln(3x+2)8=6\\ 7\ln\left(3(\tfrac{e^22}3)+2\right)8=6\\ 7\ln\left(e^22+2\right)8=6\\ 7\ln\left(e^2\right)8=6\\ 7(2)\ln\left(e\right)8=6\\ 148=6\\ 6=6\\ \checkmark\]
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