What is the answer to -ln(3-x)=ln(2+x) ?

The answer to -ln(3-x)=ln(2+x) is x=-(-1+sqrt(21))/2 ,x=(1+sqrt(21))/2

Solve for x: -ln(3-x)=ln(2+x)

The solution is x=-(-1+sqrt(21))/2 ,x=(1+sqrt(21))/2

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Popular >

- ln (3 - x) = ln (2 + x)

x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

Decimal Notation

x = - 1.79128 \dots, x = 2.79128 \dots

Solution steps

- ln (3 - x) = ln (2 + x)

Add

ln (3 - x)

to both sides

- ln (3 - x) + ln (3 - x) = ln (2 + x) + ln (3 - x)

Simplify

0 = ln (2 + x) + ln (3 - x)

Apply log rules

1 = (2 + x) (3 - x)

Solve

1 = (2 + x) (3 - x) : x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

Verify Solutions:

x = - \frac{- 1 + 21}{2}

True

, x = \frac{1 + 21}{2}

True

The solutions are

x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

lo g_{5} (x^{2} - 11 x + 49) = 2

y, 2 ln (y) = ln (y) + 1

lo g_{k} (3) = \frac{14}{25}

lo g_{2} (3 x + 6) = 2

lo g_{2} (3 x + 6) = 3

What is the answer to -ln(3-x)=ln(2+x) ?
The answer to -ln(3-x)=ln(2+x) is x=-(-1+sqrt(21))/2 ,x=(1+sqrt(21))/2
Solve for x: -ln(3-x)=ln(2+x)
The solution is x=-(-1+sqrt(21))/2 ,x=(1+sqrt(21))/2