Ln√x+2=3 what are the steps to getting the answer

A couple of rules to review:

#1).         Ln(the square root of a number) = 1/2 Ln(the number)
and
#2).         e^(Ln of a number)  =  the number

Now we're all set to solve this thing.


            Ln(  square root of(x+2)  )  = 3

From Rule #1:             1/2 Ln (x+2)   =   3

Multiply each side by 2:       Ln (x+2) = 6 

From Rule #2:                        (x + 2) = e^6

                                             (x + 2)  =  403.43  (rounded)

Subtract  2  from each side:         x  =  401.43  (rounded)

Hope i can you!