logarithms

Question

Simplify the expression: 

Log((10^6)(x^2))

answers: 12, 6x^2, 12log(x), or 6+2log(x)

 

I chose the last answer...Not sure how to do this though.  Not sure what the correct answer is.

 

Please show the steps so I can do this on my own next time.  Thanks!

 

Answer 1

 

Expression = 6 Log10 + 2Log(x) = 6 + 2Log(x) Cece, your choice was good!

 

Recall, Cece, that Log x^a y^b = Log x^a  +  Log y^b = a Logx + b Logy