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

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

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

The solution is x=(-900+900e^{12})/(e^{12)}

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

x = \frac{- 900 + 900 e ^{12}}{e ^{12}}

Decimal Notation

x = 899.99447 \dots

Solution steps

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

Apply log rules

e^{12} = \frac{900}{900 - x}

Multiply both sides by

900 - x

e^{12} (900 - x) = \frac{900}{900 - x} (900 - x)

Simplify

e^{12} (900 - x) = 900

Solve

e^{12} (900 - x) = 900 : x = \frac{- 900 + 900 e ^{12}}{e ^{12}}

x = \frac{- 900 + 900 e ^{12}}{e ^{12}}

Verify Solutions:

x = \frac{- 900 + 900 e ^{12}}{e ^{12}}

True

The solution is

x = \frac{- 900 + 900 e ^{12}}{e ^{12}}

lo g_{10} (x) \cdot 20 = - 80

ln (v) = 3.39 - 0.0785 k

0.5 ln (x - 2) - 2 ln (x - 2) = 1

ln (x) = ln (16)

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

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