Question

In e inx +in e inx2=2 in 8

Answer 1

assuming you mean
`ln(e)ln(x)+ln(e)ln(x^2)=2ln(8)`

remember that ln(e)=1

also remember that
`ln(a^b)=b(ln(a))`

also that if
`ln(a)=ln(b)` then a=b

so

`ln(e)ln(x)+ln(e)ln(x^2)=2ln(8)`

`(1)ln(x)+(1)ln(x^2)=2ln(8)`

`ln(x)+2ln(x)=2ln(8)`

`(1+2)ln(x)=2ln(8)`

`3ln(x)=2ln(8)`

`ln(x^3)=ln(8^2)`

`x^3=8^2`

`x^3=64`

`x=\sqrt[3]{64}`

`x=4`