Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^4=81
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Equation 12/(x-15)=15/(x-12)
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Equation ||x|-4|=5
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Equation 3^x=1
- Express {x} in terms of y where:
- -14*x+19*y=-3
- -12*x-13*y=-2
- -3*x-1*y=-9
- -4*x-12*y=13
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Identical expressions
- lg(ten *x)^ two +lg(x)= zero
- lg(10 multiply by x) squared plus lg(x) equally 0
- lg(ten multiply by x) to the power of two plus lg(x) equally zero
- lg(10*x)2+lg(x)=0
- lg10*x2+lgx=0
- lg(10*x)²+lg(x)=0
- lg(10*x) to the power of 2+lg(x)=0
- lg(10x)^2+lg(x)=0
- lg(10x)2+lg(x)=0
- lg10x2+lgx=0
- lg10x^2+lgx=0
- lg(10*x)^2+lg(x)=O
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Similar expressions
- lg(10*x)^2-lg(x)=0
lg(10*x)^2+lg(x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 log (10*x) + log(x) = 0
$$\log{\left(x \right)} + \log{\left(10 x \right)}^{2} = 0$$
Sum and product of roots
[src]
sum
________________ ________________
1 \/ 1 + log(10000) 1 \/ 1 + log(10000)
- - + ------------------ - - - ------------------
2 2 2 2
e e
------------------------- + -------------------------
10 10
$$\frac{1}{10 e^{\frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}} + \frac{e^{- \frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}{10}$$
=
________________ ________________
1 \/ 1 + log(10000) 1 \/ 1 + log(10000)
- - + ------------------ - - - ------------------
2 2 2 2
e e
------------------------- + -------------------------
10 10
$$\frac{1}{10 e^{\frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}} + \frac{e^{- \frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}{10}$$
product
________________ ________________
1 \/ 1 + log(10000) 1 \/ 1 + log(10000)
- - + ------------------ - - - ------------------
2 2 2 2
e e
-------------------------*-------------------------
10 10
$$\frac{e^{- \frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}{10} \frac{1}{10 e^{\frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}$$
=
-1 e --- 100
$$\frac{1}{100 e}$$
exp(-1)/100
Rapid solution
[src]
________________
1 \/ 1 + log(10000)
- - + ------------------
2 2
e
x1 = -------------------------
10
$$x_{1} = \frac{e^{- \frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}{10}$$
________________
1 \/ 1 + log(10000)
- - - ------------------
2 2
e
x2 = -------------------------
10
$$x_{2} = \frac{1}{10 e^{\frac{1}{2} + \frac{\sqrt{1 + \log{\left(10000 \right)}}}{2}}}$$
x2 = exp(-sqrt(1 + log(10000))/2 - 1/2)/10