What is the answer to 2ln((900)/(900-x))=12 ?

The answer to 2ln((900)/(900-x))=12 is x=(-900+900e^6)/(e^6)

Solve for x: 2ln((900)/(900-x))=12

The solution is x=(-900+900e^6)/(e^6)

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2 ln (\frac{900}{900 - x}) = 12

x = \frac{- 900 + 900 e ^{6}}{e ^{6}}

Decimal Notation

x = 897.76912 \dots

Solution steps

2 ln (\frac{900}{900 - x}) = 12

Divide both sides by

2

ln (\frac{900}{900 - x}) = 6

Apply log rules

\frac{900}{900 - x} = e^{6}

Multiply both sides by

900 - x

\frac{900}{900 - x} (900 - x) = e^{6} (900 - x)

Simplify

900 = e^{6} (900 - x)

Solve

900 = e^{6} (900 - x) : x = \frac{- 900 + 900 e ^{6}}{e ^{6}}

x = \frac{- 900 + 900 e ^{6}}{e ^{6}}

Verify Solutions:

x = \frac{- 900 + 900 e ^{6}}{e ^{6}}

True

The solution is

x = \frac{- 900 + 900 e ^{6}}{e ^{6}}

ln (L) = \infty

lo g_{b} (256) = 4

lo g_{x} (\frac{1}{x}) = - 2

lo g_{x} (\frac{1}{x}) = - 1

400 = 300 lo g_{10} (d) + 65

What is the answer to 2ln((900)/(900-x))=12 ?
The answer to 2ln((900)/(900-x))=12 is x=(-900+900e^6)/(e^6)
Solve for x: 2ln((900)/(900-x))=12
The solution is x=(-900+900e^6)/(e^6)