Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x^2+3)/(x^2+1)=2
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Equation x-4/3+x/2=5
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Equation z^2+z+2=0
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Equation log(x)=x
- Express {x} in terms of y where:
- 7*x+1*y=9
- -12*x-13*y=-8
- 17*x+16*y=-12
- 4*x+14*y=-17
- Derivative of:
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log(x)
- Integral of d{x}:
- log(x)
- Graphing y =:
- log(x)
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Identical expressions
- log(x)=x
- logarithm of (x) equally x
- logx=x
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Similar expressions
- ((27/100)-x/124*log(x/124))/((11/25)-((49/50)-x)/124*log(((2452/25)-x)/124))=0
- logx=1,5lg*100
log(x)=x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Sum and product of roots
[src]
sum
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
=
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
product
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
=
-re(W(-1)) - I*im(W(-1))
$$- \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
-re(LambertW(-1)) - i*im(LambertW(-1))
Rapid solution
[src]
x1 = -re(W(-1)) - I*im(W(-1))
$$x_{1} = - \operatorname{re}{\left(W\left(-1\right)\right)} - i \operatorname{im}{\left(W\left(-1\right)\right)}$$
x1 = -re(LambertW(-1)) - i*im(LambertW(-1))
Numerical answer
[src]
x1 = 0.318131505204764 + 1.33723570143069*i
x1 = 0.318131505204764 + 1.33723570143069*i
The graph