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Math Help - Exponential & Logarithmic Equations

  1. #1
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    Exponential & Logarithmic Equations

    Confused how to solve this equation:
    6 ln(x+2) - 3 = 21
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  2. #2
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    Re: Exponential & Logarithmic Equations

    Quote Originally Posted by paigesisco View Post
    Confused how to solve this equation:
    6 ln(x+2) - 3 = 21

    Can you see that \ln(x+2)=4~?
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  3. #3
    Junior Member ReneG's Avatar
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    Re: Exponential & Logarithmic Equations

    First, you want to isolate the natural logarithm on one side.

    6 ln(x+2) - 3 = 21


    Add 3 to both sides of the equations 6 ln(x + 2) = 24
    Divide both sides by 6 ln(x + 2) = 4
    Rewrite the equation in exponential form e^4 = x + 2
    Subtract 2 from both sides to solve for x. x = e^4 - 2

    Hope you understood, goodluck!
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