Use the properties of logarithms to solve the

Ean Hughes

Ean Hughes

Answered question

2022-04-11

Use the properties of logarithms to solve the following equation for x.
2ln(x+2)lnx=ln8

Answer & Explanation

fallendreamsit2p

fallendreamsit2p

Beginner2022-04-12Added 14 answers

2ln(x+2)lnx=ln8
ln(x+2)2lnx=ln(23),(mln(a)=ln(am))
ln((x+2)2x)=ln(23),(using ln(a)-ln(b)=ln(ab))
eln((x+2)2x)=eln(23),(using  eln(x)=x)
(x+2)2x=23
(x+2)2x=8
(x+2)2=8x
x2+4x+4=8x
x2+4x8x+4=0
x24x+4=0
(x2)2=0x=2  (answer)

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