Solve the equation \log_2(3x−1)=\log_2(x+1)+3

Mlejd5

Mlejd5

Answered question

2022-01-24

Solve the equation
log2(3x1)=log2(x+1)+3

Answer & Explanation

Allison Compton

Allison Compton

Beginner2022-01-25Added 16 answers

Given: log2(3x1)=log2(x+1)+3
Used property: log2(m)log2(n)=log2(mn)
Simplify the equation
log2(3x1)=log2(x+1)+3
log2(3x1)log2(x+1)=3
log2(3x1x+1)=3
(3x1x+1)=23
(3x1)=8(x+1)
(3x1)=8x+8
3x8x=8+1
5x=9
x=95

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