SOLUTION: How to solve (1/2) (exponent 3x+1) = 3 e(exponent p+1)=10

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Question 608916: How to solve
(1/2) (exponent 3x+1) = 3
e(exponent p+1)=10
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

%281%2F2%29%5E%283x%2B1%29+=+3

+%28.5%29%5E%283x%2B1%29+=+3 

 ln (.5)^(3x+1) = ln(3)

 (3x+1)ln(.5) = ln(3)

  +%283x%2B1%29=+ln%283%29%2Fln%28.5%29

 ++x+=+%28ln%283%29%2Fln%28.5%29+-1%29%2F3+=+highlight%28-.8617%29

 Rules Governing Logarithms                                    

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+e%5E%28lnx%29+=+x