Exponential Equations With Different Bases

Discussion in 'Other Pre-University Math' started by nycmathguy, Jul 11, 2022.

  1. nycmathguy

    nycmathguy

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    The video is not too clear. How is this done?

    Screenshot_20220711-075443_YouTube.jpg
     
    nycmathguy, Jul 11, 2022
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  2. nycmathguy

    MathLover1

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    2^x=5^(x+2)

    log(2^x)=log(5^(x+2))

    x*log(2)=(x+2)log(5)

    x*log(2)=x*log(5)+2log(5)

    x*log(2)-x*log(5)=2log(5)

    x(log(2)-log(5))=2log(5)

    x=2log(5)/(log(2)-log(5)) -> exact solution
     
    MathLover1, Jul 11, 2022
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  3. nycmathguy

    nycmathguy

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    The exact answer must have the log, right?
     
    nycmathguy, Jul 11, 2022
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  4. nycmathguy

    MathLover1

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    right
     
    MathLover1, Jul 11, 2022
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  5. nycmathguy

    nycmathguy

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    Copy. We will continue with College Algebra. We are currently in Chapter 1 and about to start Section 4 aka Polynomials. Going to work in 15 minutes. I may find time to post a few problems later if the building is not too crowded. Later....

    P. S. No more probability until a future time. Probability is very humbling.
     
    nycmathguy, Jul 11, 2022
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