Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation tan(x)=0
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Equation log(4/(7-x))/log(x^2)=5
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Equation x-2(3x+2)=16
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Equation (7x+1)-(9x+3)=5
- Express {x} in terms of y where:
- (x^2+y^2-1)^3-x^2*y^3=0
- -2*x+1*y=-8
- -2*x-1*y=-8
- 4*x+15*y=19
- Derivative of:
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x^(log(x))
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10
- Sum of series:
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10
- Integral of d{x}:
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10
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Identical expressions
- x^(log(x))= ten
- x to the power of ( logarithm of (x)) equally 10
- x to the power of ( logarithm of (x)) equally ten
- x(log(x))=10
- xlogx=10
- x^logx=10
x^(log(x))=10 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
_________
-\/ log(10)
x1 = e
$$x_{1} = e^{- \sqrt{\log{\left(10 \right)}}}$$
_________
\/ log(10)
x2 = e
$$x_{2} = e^{\sqrt{\log{\left(10 \right)}}}$$
x2 = exp(sqrt(log(10)))
Sum and product of roots
[src]
sum
_________ _________ -\/ log(10) \/ log(10) e + e
$$e^{- \sqrt{\log{\left(10 \right)}}} + e^{\sqrt{\log{\left(10 \right)}}}$$
=
_________ _________ \/ log(10) -\/ log(10) e + e
$$e^{- \sqrt{\log{\left(10 \right)}}} + e^{\sqrt{\log{\left(10 \right)}}}$$
product
_________ _________ -\/ log(10) \/ log(10) e *e
$$\frac{e^{\sqrt{\log{\left(10 \right)}}}}{e^{\sqrt{\log{\left(10 \right)}}}}$$
=
1
$$1$$
1
Numerical answer
[src]
x1 = -25.2915347925395 + 6.54085266249859*i
x2 = -25.2915347925395 - 6.54085266249859*i
x3 = 4.56047657161819
x4 = 4.5604765716182
x4 = 4.5604765716182
The graph