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Math

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Solve the logarithmic equation. Please show all of your work.
Loga(x+4) + loga(x-4) = 4

  • Math - ,

    lgt(a)+lgt(b)=lgt(a*b)

    lgt(x+4)+lgt(x-4)=4

    lgt[(x+4)*(x-4)]=4

    lgt is the logarithm with base 10.

    Antilogarithm of this expresion is

    (x+4)*(x-4)=10^4

    (x+4)*(x-4)=10.000

    x^2+4x-4x-4*4=10.000

    x^2-16=10.000

    x^2=10.000+16

    x^2=10.016

    x=sqroot(10.016)

    x=100.0799680256

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