F(x)=ln (x+12) + ln (x-4) Solve algebraicly (exactly) and check answers, F(x)= 2
ID: 3117572 • Letter: F
Question
F(x)=ln (x+12) + ln (x-4) Solve algebraicly (exactly) and check answers, F(x)= 2 ln x (Completely simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Do not write as a decimal) F(x)=ln (x+12) + ln (x-4) Solve algebraicly (exactly) and check answers, F(x)= 2 ln x (Completely simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Do not write as a decimal) Solve algebraicly (exactly) and check answers, F(x)= 2 ln x (Completely simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Do not write as a decimal)Explanation / Answer
f(x) = ln (x+2) +ln (x-4)
applying properties of log to simplify
ln a + ln b = ln (a*b)
ln (x+2) +ln (x-4) = ln ( x+2)(x-4)
f(x) = ln ( x^2 - 2x - 8 )
f(x) = 2ln x
applying log perperty
a ln x = ln x^a
2 ln x = ln x^2
f(x) = ln (x^2 )
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