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Math Help - Solving Exponential Equations

  1. #1
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    Unhappy Solving Exponential Equations

    Hello I'm a newbie. I need help with my homework. I have ADD bad. I don't understand this section Could someone please show how to work these problems?

    In Ex. 9-16 solve the equation f(x)= g(x) algebraically.

    11. f(x)=5^x-2-15
    g(x)=10

    In Ex 43-60 solve the exponential equation algebraically. Round your result to three decimal places. Use a graphing utility to verify your answer.

    43. 8^3x=360

    45. 2e^5x=18

    47. 500e^-x=300
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  2. #2
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    Quote Originally Posted by asimon2008 View Post
    Hello I'm a newbie. I need help with my homework. I have ADD bad. I don't understand this section Could someone please show how to work these problems?

    In Ex. 9-16 solve the equation f(x)= g(x) algebraically.

    11. f(x)=5^x-2-15
    g(x)=10

    In Ex 43-60 solve the exponential equation algebraically. Round your result to three decimal places. Use a graphing utility to verify your answer.

    43. 8^3x=360

    45. 2e^5x=18

    47. 500e^-x=300
    First: Do us (and yourself!) a favour and use brackets! Otherwise your equations are not understandable.

    Example: f(x)=5^x-2-15 and g(x)=10 should read f(x)=5^(x-2)-15 and g(x)=10

    Second: I'll do #11 and leave the rest for you. If you need some further assistance show your work so we know where we could help you.

    f(x)=g(x)~\implies~5^{x-2}-15=10~\implies~5^{x-2} = 25 = 5^2~\implies~ x-2 = 2~\implies~x=4
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  3. #3
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    Quote Originally Posted by asimon2008 View Post
    Hello I'm a newbie. I need help with my homework. I have ADD bad. I don't understand this section Could someone please show how to work these problems?

    In Ex. 9-16 solve the equation f(x)= g(x) algebraically.

    11. f(x)=5^x-2-15
    g(x)=10

    In Ex 43-60 solve the exponential equation algebraically. Round your result to three decimal places. Use a graphing utility to verify your answer.

    43. 8^3x=360

    45. 2e^5x=18

    47. 500e^-x=300
    You probably have to be a bit clearer with your questions my friend

    For example is your question 11 supposed to be

    f(x)=5^x-2-15

    g(x) =10

    or

    f(x)=5^{x-2}-15

    g(x) =10
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