Question

Solve 7 In(3x+2)-8=6

Answer 1

add 8 to both sides

Answer 2

7 In(3x+2)=14

Answer 3

now divide both sides by 7

Answer 4

in(3x+2)=2

Answer 5

@enchanted_bubbles

Answer 6

Guess 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)

Answer 7

Thanks :)

Answer 8

to check our answer:\[7\ln(3x+2)-8=6\\
7\ln\left(3(\tfrac{e^2-2}3)+2\right)-8=6\\
7\ln\left(e^2-2+2\right)-8=6\\
7\ln\left(e^2\right)-8=6\\
7(2)\ln\left(e\right)-8=6\\
14-8=6\\
6=6\\
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