logarithmic equation

Question

I am given:

 

2log₉x = log₉32

 

I have solved it according to the process I am given in the book, using the following steps:

 

log₉x² = log₉32

x² = 32

x = +√(32)

 

Is this sufficient, or do I need another step?

Answer 1

Looks good to me.  The only addition that I suggest is to simplify your answer:  √32 = √16√2 = 4√2.