how do you expand the expression below:
log base 6 of (x+3)^3 / (3y^3)

Question

how do you expand the expression below:
log base 6 of (x+3)^3 / (3y^3)

agreene · Answer

just expand it piece-wise
expand (x+3)^3 
log_6 cant be expanded
3y^3 cant be expanded either

anonymous · Answer

thank you for your reply but i need some more clarification.  can you explain further?

agreene · Answer

$$\log_{6}\frac{(x+3)^3}{3y^3}$$
we cant do anything about log_6,  we cant do anything about 3y^3 but we can expand (x+3)^3.
So for ease of working, just look at $(x+3)^3$ and put it back where it goes when you're done

agreene · Answer

if we want to REALLY expand it, we can do some things after that; but, we still need to do that first bit to move on

anonymous · Answer

the (x+3) is to the second power not the 3rd.

Is this the right answer… 2log base 6 of (x) + log base 6 of (6x) + log base 6 of (9) - log base 6 of (3) -3log base 6 of (y) ?

agreene · Answer

yes, that seems correct.

anonymous · Answer

thank you!