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clarkjets
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dw:1358409590944:dw

RolyPoly
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\[\log_3(x+4)+\log_3(x2)=3\]log a + log b = log (ab)
\[\log_3(x+4)(x2)=3\]
(x+4)(x2) = 3^3

clarkjets
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so would it be x^2+2x17=0
which makes the roots x = {3.243, 5.243}?

RolyPoly
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Not quite, can you check again?

clarkjets
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I'm sorry I can't seem to find where im going wrong

RolyPoly
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The equation you got was wrong..

RolyPoly
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(x+4)(x2) = 3^3
x^2 + 2x  8  3^3 =0
^Simplify this

clarkjets
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is it not x^2+2x17 ?

RolyPoly
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what is 3^3?

clarkjets
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oh my apologies I was thing of multiplying, so it is x^2+2x+19?

RolyPoly
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Hmmm...
x^2 + 2x  8  3^3 =0

clarkjets
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x^2+2x35=0 ?

RolyPoly
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Yup :)
Now, solve it~

clarkjets
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x=5 and x=7 ?

RolyPoly
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Yes, but you have to reject one answer there.

RolyPoly
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You cannot take log for a negative number.

clarkjets
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7 correct?

clarkjets
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ok thank you so much

RolyPoly
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You're welcome :)

RolyPoly
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And yes, you need to reject 7 :)