MATH PROBLEM

Solve for X, reduce to simplest terms, evaluate and check.

Problem:      7X  =  3X + 1


Solution in 8 steps:


  1.  X•LOG(7) = (X + 1)•LOG(3)

  2.  LOG(7) = ((X + 1)•LOG(3))/X

  3.  LOG(7)/LOG(3) = (X + 1)/X

  4.  1 + 1/X = LOG(7)/LOG(3)

  5.  1/X = (LOG(7)/LOG(3)) - 1

  6.  1/X = LOG(7)/LOG(3) - LOG(3)/LOG(3)

  7.  1/X = (LOG(7) - LOG(3))/LOG(3)

  8.  X = LOG(3)/(LOG(7) - LOG(3))

Evaluate:

  X = 1.29660694311922232101219580698645836815981641728161

Check:

       7X  =  3X + 1

  1.  71.296606943119222321 = 12.46694335741678357

  2.  3(1.296606943119222321 + 1) = 12.46694335741678357

Problem submitted by Chris Bullock 3/29/2004.

By Jim Shook

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