Mister Exam
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How to use it?
- Equation:
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Equation (x+1)^2+(x-6)^2=2x^2
- Equation x³-2x²+x=0
- Equation sin3x+sinx-sin2x=2cos^2x-2cosx
- Equation x^(log(x,1/3)+4)=1/243
- Express {x} in terms of y where:
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
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Identical expressions
- x^(log(x, one / three)+ four)= one / two hundred and forty-three
- x to the power of ( logarithm of (x,1 divide by 3) plus 4) equally 1 divide by 243
- x to the power of ( logarithm of (x, one divide by three) plus four) equally one divide by two hundred and forty minus three
- x(log(x,1/3)+4)=1/243
- xlogx,1/3+4=1/243
- x^logx,1/3+4=1/243
- x^(log(x,1 divide by 3)+4)=1 divide by 243
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Similar expressions
- x^(log(x,1/3)-4)=1/243
x^(log(x,1/3)+4)=1/243 equation
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The solution
You have entered
[src]
log(x) -------- + 4 log(1/3) x = 1/243
$$x^{\frac{\log{\left(x \right)}}{\log{\left(\frac{1}{3} \right)}} + 4} = \frac{1}{243}$$
Sum and product of roots
[src]
sum
243 + 1/3
$$\frac{1}{3} + 243$$
=
730/3
$$\frac{730}{3}$$
product
243 --- 3
$$\frac{243}{3}$$
=
81
$$81$$
81
Numerical answer
[src]
x1 = 0.154715320178455 + 0.241977802223838*i
x2 = 0.333333333333333
x3 = -100.419005697075 + 377.377243289155*i
x4 = -100.419005697933 + 377.377243289879*i
x5 = -100.419005697934 + 377.377243289879*i
x6 = -100.419005697935 + 377.377243289876*i
x7 = 243.0
x7 = 243.0