Question

Solve log(3+2log(1+x)) =0

Answer 1

Assuming
`\log x\equiv\log_(10)x`,


`\log(3+2\log(1+x))=0`

`10^(\log(3+2\log(1+x)))=10^0`

`3+2\log(1+x)=1`

`2\log(1+x)=-2`

`\log(1+x)=-1`

`10^(\log(1+x))=10^(-1)`

`1+x=\frac1{10}`

`x=-\frac9{10}`