muthi001
muthi001
31-03-2017
Mathematics
contestada
Solve log(3+2log(1+x)) =0
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LammettHash
LammettHash
31-03-2017
Assuming [tex]\log x\equiv\log_{10}x[/tex],
[tex]\log(3+2\log(1+x))=0[/tex]
[tex]10^{\log(3+2\log(1+x))}=10^0[/tex]
[tex]3+2\log(1+x)=1[/tex]
[tex]2\log(1+x)=-2[/tex]
[tex]\log(1+x)=-1[/tex]
[tex]10^{\log(1+x)}=10^{-1}[/tex]
[tex]1+x=\dfrac1{10}[/tex]
[tex]x=-\dfrac9{10}[/tex]
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