What is the answer to 150=21392ln(x)-65652 ?

The answer to 150=21392ln(x)-65652 is x=e^{32901/10696}

Solve for x: 150=21392ln(x)-65652

The solution is x=e^{32901/10696}

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150 = 21392 ln (x) - 65652

x = e^{\frac{32901}{10696}}

Decimal Notation

x = 21.67175 \dots

Solution steps

150 = 21392 ln (x) - 65652

Switch sides

21392 ln (x) - 65652 = 150

Move

65652

to the right side

21392 ln (x) = 65802

Divide both sides by

21392

ln (x) = \frac{32901}{10696}

Apply log rules

x = e^{\frac{32901}{10696}}

Verify Solutions:

x = e^{\frac{32901}{10696}}

True

The solution is

x = e^{\frac{32901}{10696}}

5 ln (x) = \frac{2}{2}

lo g_{2} (7 x - 2) - lo g_{2} (3) = 5

lo g_{3} (2 x) = 1 - lo g_{3} (x)

lo g_{5} (5^{x} - 20) = 3 - x

2 lo g_{2} (x) = lo g_{2} (x + 12) + 1

What is the answer to 150=21392ln(x)-65652 ?
The answer to 150=21392ln(x)-65652 is x=e^{32901/10696}
Solve for x: 150=21392ln(x)-65652
The solution is x=e^{32901/10696}