# Confused over application of log power rule ?

##
The Question says

In x+In2x=12

I got the right answer by e^(2x^2)=e^12 which gives 218.39

But when I try it with log power rule,

Inx+In2x=12

In2x^2=12

2In2x=12

In2x=6

e^(In2x)=e^6,which gives me the wrong answer of 201.7. Why is this ?

The Question says

In x+In2x=12

I got the right answer by e^(2x^2)=e^12 which gives 218.39

But when I try it with log power rule,

Inx+In2x=12

In2x^2=12

2In2x=12

In2x=6

e^(In2x)=e^6,which gives me the wrong answer of 201.7. Why is this ?

##### 1 Answer

Both your answers are wrong. See below.

Correct is

#### Explanation:

I got the right answer by

**No**, red bit is wrong

**NOT**

But when I try it with log power rule,

**Nah, sorry**

Correct is