Question

What is 3log2 x-(log2 3-log2(x+4)) written as a single logarithm?

Answer 1

Answer:

the answer is c on edge

Step-by-step explanation:

it's the closest one so

log2 (x^3/3)/x+4

which is c

Answer 2

Answer:
log₂($\frac{x^2(x+4)}{3}$)

Explanation:
Before we begin, remember the following:
logₐ(x) - logₐ(y) = logₐ($\frac{x}{y}$)
alog(x) = log(xᵃ)

Now, for the given we have:
3 log₂(x) - (log₂3 - log₂(x+4))
log₂(x²) - log₂($\frac{3}{x+4}$)

log₂($\frac{x^2}{ \frac{3}{x+4} }$) = log₂($\frac{x^2(x+4)}{3}$)

Hope this helps :)