What is the answer to 85=-20.907+30.827ln(x) ?

The answer to 85=-20.907+30.827ln(x) is x=e^{105907/30827}

Solve for x: 85=-20.907+30.827ln(x)

The solution is x=e^{105907/30827}

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85 = - 20.907 + 30.827 ln (x)

x = e^{\frac{105907}{30827}}

Decimal

x = 31.04777 \dots

Solution steps

85 = - 20.907 + 30.827 ln (x)

Switch sides

- 20.907 + 30.827 ln (x) = 85

Multiply both sides by

1000

- 20907 + 30827 ln (x) = 85000

Move

20907

to the right side

30827 ln (x) = 105907

Divide both sides by

30827

ln (x) = \frac{105907}{30827}

Apply log rules

x = e^{\frac{105907}{30827}}

Verify Solutions:

x = e^{\frac{105907}{30827}}

True

The solution is

x = e^{\frac{105907}{30827}}

2 lo g_{10} (x + 1) = 0

428101 = 9059 \cdot ln (x) + 12324

6 + 0.36 x = 5 x lo g_{10} (x)

lo g_{3} (x) + lo g_{3} (x - 26) = 3

5.19 = ln (x)

What is the answer to 85=-20.907+30.827ln(x) ?
The answer to 85=-20.907+30.827ln(x) is x=e^{105907/30827}
Solve for x: 85=-20.907+30.827ln(x)
The solution is x=e^{105907/30827}