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26-07-2018
Mathematics

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11^-x+3=5^-3x. solve for x write the exact answer using base -10 logarithms

Respuesta :

26-07-2018

Hi,

[tex] 11^{-x+3}=5^{-3x}\\

(-x+3) log 11 = -3x log 5\\

-x*log 11 + 3x* log 11 =-3*log 11\\

x(-log 11 +3 log 5)=-3 log 11\\

x=\dfrac{-3 log 11}{(3 log 5 -log 11} \\

x=-2.959854....
[/tex]

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