posted by .

e^3x-7 x e^-2x =4e

First step I get e^1x-7 =4e
For the example in my book, the next step they divided by e. But I have no idea how to do this, or what involves?

  • precalculus -

    You have to apply the indices rule: a^m /a^n= a^(m-n)
    so e^(x-7)/e^1= e^(x-8). We then get: e^(x-8)=4 Use ln: x-8= ln4 so x=8+ln4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra help

    f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this?
  2. Logarithms

    I'm working on logarithmic equations and I'm stuck on how my book arrives at the next step. First, they use the change of base formula on, log(sqrt(2))(x^3 - 2) (sqrt(2)) is the base,changing to base 2 log(sqrt(2))(x^3 - 2)= log2(x^3 …
  3. CHEM

    The decomposition of nitrogen dioxide 2NO2-->2NO+O2 occurs in a two-step sequence at elevated tempatures. the first step lis NO2--> NO+O. predict a possible second step that, when combined with the first step, gives the complete …
  4. geometry

    The figure shows some of the steps Jane took to draw a line segment parallel to line segment XY at R. Jane plans to perform these steps next. Step 1. Set the compass at point S and adjust its width to point T Step 2. Fix the compass …
  5. College algebra

    I need a step by step explaination of the example in my book. Find the domain of f(x)=(7x)/(x-8)
  6. Precalculus

    This is for solving exponential/logarithmic functions: (This is a base e Logarithmic function I would assume): e^(4x)/10 =4^x-2 ?
  7. Math

    Stupid question time. I need to figure out how to rearrange equations to solve for x in my chemistry homework, which involves putting equations in quadratic form first. But I can't for the life of me remember how to "rearrange" them …

    When solving the equation, what property was used to go from step 3 to step 4?
  9. Quick math help

    In which step below does a mistake first appear in simplifying the expression?
  10. precalculus

    Which of the following would be the best first step when solving the following system using the substitution method?

More Similar Questions