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

@triciaal @sexygirl7400

Answer 2

i guess D

Answer 3

\[\log (x^2(x^5-2x^4-71x^3-20x^2+1456x+3136))/ (x-2)^5\]

Answer 4

@sammixboo @TheSmartOne

Answer 5

Im stumped on this one... maybe @Michele_Laino can help

Answer 6

3log(x+4)+2log(x-7)-5log(x-2)+log(x^2)
A number in front of logs means that they are exponents.
That means, place all the numbers in front of the logs as exponents
log(x+4)^(3)+log(x-7)^(2)-log(x-2)^(5)+log(x^2)

Answer 7

if there is addition between two logs you need to make it multiplication

Answer 8

and if there is subtraction then you need to divide it.

Answer 9

@HugoHuynh please apply this property, first:
\[m \log x=\log (x ^{m})\]