Exponential Functions

Discussion in 'Algebra' started by nycmathguy, Jul 3, 2022.

  1. nycmathguy

    nycmathguy

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    For each function, do the following:

    1. Solve for x

    2. Graph each function on the same xy-plane

    3^(2x) - 5^(x^2) = 100^(x^2 - 4)

    5^(x + 5) = 6^(x - 5)
     
    nycmathguy, Jul 3, 2022
    #1
  2. nycmathguy

    MathLover1

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    1. upload_2022-7-3_14-8-35.gif .........you can solve it only using calculator

    x≈1.36521
    x≈4.5512×10^-9 which is very close to x=0

    [​IMG]

    2.

    upload_2022-7-3_14-16-39.gif

    upload_2022-7-3_14-17-18.gif

    upload_2022-7-3_14-17-48.gif
    5log(6)+ 5log(5) = x* log(6)- x*log(5)
    5(log(6)+ log(5)) = x(log(6)- log(5))
    upload_2022-7-3_14-23-23.gif

    x=93.28 approximately

    [​IMG]
     

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    MathLover1, Jul 3, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    nycmathguy, Jul 3, 2022
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