What is the answer to 1=-2ln(200-0.5a) ?

The answer to 1=-2ln(200-0.5a) is a=(2(200sqrt(e)-1))/(sqrt(e))

Solve for a: 1=-2ln(200-0.5a)

The solution is a=(2(200sqrt(e)-1))/(sqrt(e))

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1 = - 2 ln (200 - 0.5 a)

a = \frac{2 ( 200 e - 1 )}{e}

Decimal Notation

a = 398.78693 \dots

Solution steps

1 = - 2 ln (200 - 0.5 a)

Switch sides

- 2 ln (200 - 0.5 a) = 1

Divide both sides by

- 2

ln (200 - 0.5 a) = - \frac{1}{2}

Apply log rules

200 - 0.5 a = \frac{1}{e}

Solve

200 - 0.5 a = \frac{1}{e} : a = \frac{2 ( 200 e - 1 )}{e}

a = \frac{2 ( 200 e - 1 )}{e}

Verify Solutions:

a = \frac{2 ( 200 e - 1 )}{e}

True

The solution is

a = \frac{2 ( 200 e - 1 )}{e}

ln (a) = 3.322

lo g_{2} (x) = 3 - lo g_{2} (5)

x, ln (5 - 2 x) = - 7

ln (x) + ln (x - 5) = ln (2 x)

lo g_{2} (x) = 3 - lo g_{2} (7)

What is the answer to 1=-2ln(200-0.5a) ?
The answer to 1=-2ln(200-0.5a) is a=(2(200sqrt(e)-1))/(sqrt(e))
Solve for a: 1=-2ln(200-0.5a)
The solution is a=(2(200sqrt(e)-1))/(sqrt(e))