The expression 3(log(x + 1) + log(x + 4)) can be written as log(z). What is z?

Here's my work:

3(log(x + 1) + log(x+4))

= 3log(x + 1) + 3log(x + 4)

= log(x + 1)^3 + log(x + 4)^3

= log[((x + 1)^3)((x + 4)^3)]

Therefore z = ((x + 1)^3)((x + 4)^3)

Is this correct?

Guest Aug 12, 2020