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

Question

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

anonymous · Answer

@triciaal @sexygirl7400

anonymous · Answer

attachment

anonymous · Answer

i guess D

anonymous · Answer

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

anonymous · Answer

@sammixboo @TheSmartOne

anonymous · Answer

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

zale101 · Answer

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)

thesmartone · Answer

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

thesmartone · Answer

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

michele_laino · Answer

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

thesmartone · Answer

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