mroberts453p65o5s mroberts453p65o5s

06-05-2018
Mathematics

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solve the exponential equation
[tex] {10}^{ - x} = {7}^{4x} [/tex]

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konrad509 konrad509

06-05-2018

[tex]10^{-x}=7^{4x}\\ \ln 10^{-x}=\ln 7^{4x}\\ -x \ln 10=4x\ln 7\\ -x \ln 10-4x\ln 7=0\\ x(-\ln 10-4\ln 7)=0\\ x=0[/tex]

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