What is the answer to 25=19.725ln(x)-114.69 ?

The answer to 25=19.725ln(x)-114.69 is x=e^{27938/3945}

Solve for x: 25=19.725ln(x)-114.69

The solution is x=e^{27938/3945}

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25 = 19.725 ln (x) - 114.69

x = e^{\frac{27938}{3945}}

Decimal Notation

x = 1190.19899 \dots

Solution steps

25 = 19.725 ln (x) - 114.69

Switch sides

19.725 ln (x) - 114.69 = 25

Multiply both sides by

1000

19725 ln (x) - 114690 = 25000

Move

114690

to the right side

19725 ln (x) = 139690

Divide both sides by

19725

ln (x) = \frac{27938}{3945}

Apply log rules

x = e^{\frac{27938}{3945}}

Verify Solutions:

x = e^{\frac{27938}{3945}}

True

The solution is

x = e^{\frac{27938}{3945}}

lo g_{3} (4 x) + lo g_{3} (5) = 2

e^{l n (2 x)} = 2 x

lo g_{3} (x) = 6

lo g_{4} (x + 12) + lo g_{4} (x) = 3

8 lo g_{2} (x + 1) = 40

What is the answer to 25=19.725ln(x)-114.69 ?
The answer to 25=19.725ln(x)-114.69 is x=e^{27938/3945}
Solve for x: 25=19.725ln(x)-114.69
The solution is x=e^{27938/3945}