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

           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