What is the answer to -1/2 ln|y+1|+1/2 ln|y-1|=0 ?

The answer to -1/2 ln|y+1|+1/2 ln|y-1|=0 is y=0

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-1/2 ln|y+1|+1/2 ln|y-1|=0

- \frac{1}{2} ln ∣ y + 1 ∣ + \frac{1}{2} ln ∣ y - 1 ∣ = 0

y = 0

Solution steps

- \frac{1}{2} ln ∣ y + 1 ∣ + \frac{1}{2} ln ∣ y - 1 ∣ = 0

Divide both sides by

0.5

- \frac{\frac{1}{2} ln ∣ y + 1 ∣}{0.5} + \frac{\frac{1}{2} ln ∣ y - 1 ∣}{0.5} = \frac{0}{0.5}

Simplify

- ln ∣ y + 1 ∣ + ln ∣ y - 1 ∣ = 0

Add

ln ∣ y + 1 ∣

to both sides

- ln ∣ y + 1 ∣ + ln ∣ y - 1 ∣ + ln ∣ y + 1 ∣ = 0 + ln ∣ y + 1 ∣

Simplify

ln ∣ y - 1 ∣ = ln ∣ y + 1 ∣

Apply log rules

∣ y - 1 ∣ = ∣ y + 1 ∣

Solve

∣ y - 1 ∣ = ∣ y + 1 ∣ : y = 0

y = 0

Verify Solutions:

y = 0

True

The solution is

y = 0

9 (3 x + 2)^{2} (8 x - 3) - (3 x + 2) (8 x - 3)^{2}

x^{2} - x = 25

7 (12 - x) = 63

\frac{( 1.05 - 0.95 ) ^{2}}{12}

s^{2} + 5 s + 6

What is the answer to -1/2 ln|y+1|+1/2 ln|y-1|=0 ?
The answer to -1/2 ln|y+1|+1/2 ln|y-1|=0 is y=0
Solve for y: -1/2 ln|y+1|+1/2 ln|y-1|=0
The solution is y=0