SOLUTION: solve the following exponential equation. exact answers only <font face="symbol">p</font><sup>x+1</sup> = e<sup>5x</sup>

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Question 629620: solve the following exponential equation. exact answers only
px+1 = e5x
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
           px+1 = e5x

Take natural logs of both sides:

       ln(px+1) = ln(e5x)

Use rules of logarithms:

     (x+1)ln(p) = 5x

Distribute to remove parentheses:

x·ln(p) + ln(p) = 5x

Rearrange equation:

   -5x + x·ln(p) = -ln(p)

Multiply through both sides by -1:

    5x - x·ln(p) = ln(p)

Factor out x on the left

      x[5-ln(p)] = ln(p)

Divide both sides by 5-ln(p) 

              x = 

Edwin
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