What is the answer to 59.61=29.58ln((10^{-6})/(x*3)) ?

The answer to 59.61=29.58ln((10^{-6})/(x*3)) is x= 1/(3000000e^{1987/986)}

Solve for x: 59.61=29.58ln((10^{-6})/(x*3))

The solution is x= 1/(3000000e^{1987/986)}

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59.61 = 29.58 ln (\frac{1 0 ^{- 6}}{x \cdot 3})

x = \frac{1}{3000000 e ^{\frac{1987}{986}}}

Decimal

x = 4.44307 E - 8

Solution steps

59.61 = 29.58 ln (\frac{1 0 ^{- 6}}{x \cdot 3})

Switch sides

29.58 ln (\frac{1 0 ^{- 6}}{x 3}) = 59.61

Multiply both sides by

100

2958 ln (\frac{1 0 ^{- 6}}{x 3}) = 5961

Divide both sides by

2958

ln (\frac{1 0 ^{- 6}}{x 3}) = \frac{1987}{986}

Apply log rules

\frac{1 0 ^{- 6}}{x \cdot 3} = e^{\frac{1987}{986}}

Multiply both sides by

x 3

\frac{1 0 ^{- 6}}{x \cdot 3} x \cdot 3 = e^{\frac{1987}{986}} x \cdot 3

Simplify

\frac{1 0 ^{- 6}}{x \cdot 3} x \cdot 3 : \frac{1}{1000000}

\frac{1}{1000000} = e^{\frac{1987}{986}} x \cdot 3

Solve

\frac{1}{1000000} = e^{\frac{1987}{986}} x \cdot 3 : x = \frac{1}{3000000 e ^{\frac{1987}{986}}}

x = \frac{1}{3000000 e ^{\frac{1987}{986}}}

Verify Solutions:

x = \frac{1}{3000000 e ^{\frac{1987}{986}}}

True

The solution is

x = \frac{1}{3000000 e ^{\frac{1987}{986}}}

y, ln (y) = x + ln (x - 1) + c

400 = 250 + 90 ln (0.05 x - 10)

lo g_{8} (x) = x + 1

lo g_{x} (0.25) = - 2

6 - lo g_{10} (8 x + 4) = 4

What is the answer to 59.61=29.58ln((10^{-6})/(x*3)) ?
The answer to 59.61=29.58ln((10^{-6})/(x*3)) is x= 1/(3000000e^{1987/986)}
Solve for x: 59.61=29.58ln((10^{-6})/(x*3))
The solution is x= 1/(3000000e^{1987/986)}