What is the answer to 19.2=1.2ln(x)+15.8 ?

The answer to 19.2=1.2ln(x)+15.8 is x=e^{17/6}

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19.2=1.2ln(x)+15.8

19.2 = 1.2 ln (x) + 15.8

x = e^{\frac{17}{6}}

Decimal Notation

x = 17.00203 \dots

Solution steps

19.2 = 1.2 ln (x) + 15.8

Switch sides

1.2 ln (x) + 15.8 = 19.2

Multiply both sides by

10

12 ln (x) + 158 = 192

Move

158

to the right side

12 ln (x) = 34

Divide both sides by

12

ln (x) = \frac{17}{6}

Apply log rules

x = e^{\frac{17}{6}}

Verify Solutions:

x = e^{\frac{17}{6}}

True

The solution is

x = e^{\frac{17}{6}}

ln (x) = \frac{3}{2} ln (16)

x, lo g_{3} (x) = y + 6

lo g_{10} (7 x - 2) = 0

x, - 2 = lo g_{2} (x)

ln (2 - p) = 4

What is the answer to 19.2=1.2ln(x)+15.8 ?
The answer to 19.2=1.2ln(x)+15.8 is x=e^{17/6}
Solve for x: 19.2=1.2ln(x)+15.8
The solution is x=e^{17/6}