Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x-11)/(x-6)=11/16
-
Equation x^2-4x+6=0
-
Equation 5*x=12
-
Equation 2*sin(x)*cos(x)=0
- Express {x} in terms of y where:
- -20*x-7*y=-17
- -16*x-9*y=-5
- -8*x-11*y=1
- -20*x-18*y=20
- Integral of d{x}:
-
1/100
-
Identical expressions
- x^log one 000x=1/ one hundred
- x to the power of logarithm of 1000x equally 1 divide by 100
- x to the power of logarithm of one 000x equally 1 divide by one hundred
- xlog1000x=1/100
- x^log1000x=1 divide by 100
-
Similar expressions
- x/50+10*(20+1/(100*x/10^6))/(30+1/(100*x/10^6))=0
x^log1000x=1/100 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
______________________ _________
-\/ -8 + log(1000000000) *\/ log(10)
--------------------------------------
____ 2
\/ 10 *e
x1 = ----------------------------------------------
100
$$x_{1} = \frac{\sqrt{10}}{100 e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}}$$
______________________ _________
\/ -8 + log(1000000000) *\/ log(10)
------------------------------------
____ 2
\/ 10 *e
x2 = --------------------------------------------
100
$$x_{2} = \frac{\sqrt{10} e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}}{100}$$
x2 = sqrt(10)*exp(sqrt(-8 + log(1000000000))*sqrt(log(10))/2)/100
Sum and product of roots
[src]
sum
______________________ _________ ______________________ _________
-\/ -8 + log(1000000000) *\/ log(10) \/ -8 + log(1000000000) *\/ log(10)
-------------------------------------- ------------------------------------
____ 2 ____ 2
\/ 10 *e \/ 10 *e
---------------------------------------------- + --------------------------------------------
100 100
$$\frac{\sqrt{10}}{100 e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}} + \frac{\sqrt{10} e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}}{100}$$
=
______________________ _________ ______________________ _________
\/ -8 + log(1000000000) *\/ log(10) -\/ -8 + log(1000000000) *\/ log(10)
------------------------------------ --------------------------------------
____ 2 ____ 2
\/ 10 *e \/ 10 *e
-------------------------------------------- + ----------------------------------------------
100 100
$$\frac{\sqrt{10}}{100 e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}} + \frac{\sqrt{10} e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}}{100}$$
product
______________________ _________ ______________________ _________
-\/ -8 + log(1000000000) *\/ log(10) \/ -8 + log(1000000000) *\/ log(10)
-------------------------------------- ------------------------------------
____ 2 ____ 2
\/ 10 *e \/ 10 *e
----------------------------------------------*--------------------------------------------
100 100
$$\frac{\sqrt{10}}{100 e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}} \frac{\sqrt{10} e^{\frac{\sqrt{-8 + \log{\left(1000000000 \right)}} \sqrt{\log{\left(10 \right)}}}{2}}}{100}$$
=
1/1000
$$\frac{1}{1000}$$
1/1000
Numerical answer
[src]
x1 = 0.473515757505208
x2 = -1.88966216366831 - 0.134855615051217*i
x3 = -1.88966216366831 + 0.134855615051217*i
x3 = -1.88966216366831 + 0.134855615051217*i