How would you write the following expression as a sum or difference?
log(3√2-x/3x)

A.1/3(log(2-x)+log3x)
B. 1/3log(2-x)-log3x
C. 1/3log(2-x)-logx
D. 1/3log(2-x)+log3x

Question

How would you write the following expression as a sum or difference?
log(3√2-x/3x)

A.1/3(log(2-x)+log3x)
B. 1/3log(2-x)-log3x
C. 1/3log(2-x)-logx
D. 1/3log(2-x)+log3x

tkhunny · Answer

Well, since you have ignored the Order of Operations and written $3\sqrt{2} - \dfrac{x}{3}\cdot x = 3\sqrt{2} - \dfrac{x^{2}}{3}$, then none of those choices is suitable.

Please give it another go, making sure you write what you intend - always recalling the Order of Operations and inserting parentheses where necessary.