Question

simplify the expression below and write it as a single logarithm: 3log(x+4)-2log(x-7)+5log(x-2)-log(x^2)

Answer 1

Do you know what to do with exponents?

Answer 2

no could you please explain how to work it out please.

Answer 3

Well whenever there is a number infront of the log, you have to convert it to an exponent like such:
\[2logx <=>logx^2\]

Answer 4

oh okay

Answer 5

So can you convert the others?

Answer 6

yea i think i can, thank you

Answer 7

Remember that:
\[loga+logb=\log(a*b)\]
\[loga-logb=\log \frac{a}{b}\]