Solve the equation \log(x+3)+\log x =1, inequality, or system of equations.

Tyra

Tyra

Answered question

2021-05-16

Solve the equation log(x+3)+logx=1, inequality, or system of equations.

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2021-05-17Added 100 answers

Step 1
Given: log(x+3)+logx=1
Step 2
Explanation:
log(x+3)+logx=1
log10(x(x+3))=1   [log(m)+log(n)=log(mn)]
x2+3x=101   [loga(m)=c then m=ac]
x2+3x10=0
x2+5x2x10=0
x(x+5)2(x+5)=0
(x+5)(x2)=0
x=5,2
log value cant
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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