What is the answer to 5=50.238ln(x)-314.32 ?

The answer to 5=50.238ln(x)-314.32 is x=e^{17740/2791}

Solve for x: 5=50.238ln(x)-314.32

The solution is x=e^{17740/2791}

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5 = 50.238 ln (x) - 314.32

x = e^{\frac{17740}{2791}}

Solution steps

5 = 50.238 ln (x) - 314.32

Switch sides

50.238 ln (x) - 314.32 = 5

Multiply both sides by

1000

50238 ln (x) - 314320 = 5000

Move

314320

to the right side

50238 ln (x) = 319320

Divide both sides by

50238

ln (x) = \frac{17740}{2791}

Apply log rules

x = e^{\frac{17740}{2791}}

Verify Solutions:

x = e^{\frac{17740}{2791}}

True

The solution is

x = e^{\frac{17740}{2791}}

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

lo g_{2} (9 x + 2) - lo g_{2} (x - 5) = 3

ln (x + 50) = 2

ln (x + 2) - ln (4) = 3

4 ln (x - e) = 4

What is the answer to 5=50.238ln(x)-314.32 ?
The answer to 5=50.238ln(x)-314.32 is x=e^{17740/2791}
Solve for x: 5=50.238ln(x)-314.32
The solution is x=e^{17740/2791}