Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation laplace(x)=(39/40)
-
Equation 0,4x+3,8=2,6-0,8x
-
Equation (7-x)^2=(x+3)^2
-
Equation 8x=4
- Express {x} in terms of y where:
- 12*x+2*y=-9
- 2*x+6*y=-2
- -9*x-16*y=-1
- -18*x-11*y=7
- Integral of d{x}:
-
1/100
-
Identical expressions
- x^(ln one 000x)=1/ one hundred
- x to the power of (ln1000x) equally 1 divide by 100
- x to the power of (ln one 000x) equally 1 divide by one hundred
- x(ln1000x)=1/100
- xln1000x=1/100
- x^ln1000x=1/100
- x^(ln1000x)=1 divide by 100
-
Similar expressions
- 327/100=log(161/(100*10^35))/log(1/k)
- x/50+10*(20+1/(100*x/10^6))/(30+1/(100*x/10^6))=0
x^(ln1000x)=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