SOLUTION: express x in terms of log 10 : 4^x-2 = 7^3x+1 I don't understand how I am suppose to set up this problem or how to do it. :( any help (stepbystep etc.) would be really really ap

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Question 400077: express x in terms of log 10 : 4^x-2 = 7^3x+1
I don't understand how I am suppose to set up this problem or how to do it. :( any help (stepbystep etc.) would be really really appreciated thanks!
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

Let log indicate a base of ten 

 4^x-2 = 7^3x+1

(x-2)log4 = (3x + 1)log7

  xlog4 - 2log4 = 3xlog7 + log7

    -2log4 -log7 = x(3log7 - log4)

    



   

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
  



Take the log base 10 of both sides







 

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