Solve equations and inequalities: \log(3x-1)=\log(4-x) \log_2x^3=\log_2(x) \ln 8-x^2=\ln(2-x) \log_518-x^2=\log_5(6-x)

livinglife100s8x

livinglife100s8x

Answered question

2022-04-21

Solve equations and inequalities:
log(3x1)=log(4x)
log2x3=log2(x)
ln8x2=ln(2x)
log518x2=log5(6x)

Answer & Explanation

Simone Ali

Simone Ali

Beginner2022-04-22Added 18 answers

1)Given
log(3x1)=log(4x)
3x1=4x
4x=5
x=54
2)Given
log2x3=log2(x)
3log2x=log2x (incorrect)
Thus, the correct equation is
log2(x)3=3log2x
3)Given
ln8x2=ln(2x)
Remove ln on both sides
8x2=2x
x2x6=0
(x3)(x+2)=0
x=3 or x=2
Luke Kane

Luke Kane

Beginner2022-04-23Added 14 answers

(d) log518x2=log5(6x)
18x2=6x
x2x12=0
(x4)(x+3)=0
x=4 or x=3

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