SOLUTION: How do I expand this logarithm? log3(2X)^2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do I expand this logarithm? log3(2X)^2       Log On


   



Question 404266: How do I expand this logarithm?
log3(2X)^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
expand this logarithm?
log3(2X)^2
---
= 2log3(2x)
---
= 2[log3(2)+log3(x)]
---
= log3(4) + log3(x^2)
= log3(4) + 2log3(x)
==========================
----
OR
log3(2x)^2
= log3(4x^2)
= log3(4) + log3(x^2)
= log3(4) + 2log3(x)
===================
Cheers,
Stan H.
=========