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Solving Exponential Equation

  1. Nov 20, 2011 #1
    We are currently studying logarithmic and one of the subsection is on solving exponential equations.

    I cannot, for the life of me, solve this equation or similar equations. My hopes are that some of you guys can solve it for me and demonstrate the entire process.

    The question is:

    4^(x+1)+4^x=160

    Correct answer of x is 2.5 but i do not know how to get there.
     
  2. jcsd
  3. Nov 20, 2011 #2

    D H

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    Start by expressing 4x+1 as 4*4x and 4x as 1*4x. Now collect the common term on the left hand. Can you see the rest?
     
  4. Nov 20, 2011 #3
    how do I actually collect like terms?
     
  5. Nov 20, 2011 #4

    D H

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    Consider the expression a*b + a*c. Collect the common term. Now do the same to your problem.
     
  6. Nov 20, 2011 #5
    5*4x? if that's the term then the equation gives me an answer of 1.5 rather than 2.5
     
  7. Nov 20, 2011 #6

    D H

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    No, it gives 2.5. Show your work.
     
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