Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x^2+5*x-6=0
- Equation x-y=7
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Equation 2^x=32
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Equation (x+3)^4+2*(x+3)^2-8=0
- Express {x} in terms of y where:
- 19*x-12*y=16
- -11*x-3*y=14
- -2*x+14*y=9
- 6*x+9*y=-9
- Derivative of:
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x^(log(x))
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Identical expressions
- x^(log(x))= ten thousand
- x to the power of ( logarithm of (x)) equally 10000
- x to the power of ( logarithm of (x)) equally ten thousand
- x(log(x))=10000
- xlogx=10000
- x^logx=10000
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Similar expressions
- 2*1000*(0.28-x)=800*x
x^(log(x))=10000 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
_________
-2*\/ log(10)
x1 = e
$$x_{1} = e^{- 2 \sqrt{\log{\left(10 \right)}}}$$
_________
2*\/ log(10)
x2 = e
$$x_{2} = e^{2 \sqrt{\log{\left(10 \right)}}}$$
x2 = exp(2*sqrt(log(10)))
Sum and product of roots
[src]
sum
_________ _________ -2*\/ log(10) 2*\/ log(10) e + e
$$e^{- 2 \sqrt{\log{\left(10 \right)}}} + e^{2 \sqrt{\log{\left(10 \right)}}}$$
=
_________ _________ -2*\/ log(10) 2*\/ log(10) e + e
$$e^{- 2 \sqrt{\log{\left(10 \right)}}} + e^{2 \sqrt{\log{\left(10 \right)}}}$$
product
_________ _________ -2*\/ log(10) 2*\/ log(10) e *e
$$\frac{e^{2 \sqrt{\log{\left(10 \right)}}}}{e^{2 \sqrt{\log{\left(10 \right)}}}}$$
=
1
$$1$$
1
Numerical answer
[src]
x1 = -68.3921524667838 - 12.3568387326607*i
x2 = 20.7979465602784
x3 = -68.3921524667838 + 12.3568387326607*i
x3 = -68.3921524667838 + 12.3568387326607*i