Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2=11
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Equation log(4/(7-x))/log(x^2)=5
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Equation sin(2*x)=-1
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Equation -2*x/(x^2+1)^2=0
- Express {x} in terms of y where:
- -14*x-16*y=14
- 16*x-17*y=-9
- -14*x-3*y=-5
- -16*x-20*y=6
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Identical expressions
- lg^ two (x^ two)+lg(ten *x)- six = zero
- lg squared (x squared ) plus lg(10 multiply by x) minus 6 equally 0
- lg to the power of two (x to the power of two) plus lg(ten multiply by x) minus six equally zero
- lg2(x2)+lg(10*x)-6=0
- lg2x2+lg10*x-6=0
- lg²(x²)+lg(10*x)-6=0
- lg to the power of 2(x to the power of 2)+lg(10*x)-6=0
- lg^2(x^2)+lg(10x)-6=0
- lg2(x2)+lg(10x)-6=0
- lg2x2+lg10x-6=0
- lg^2x^2+lg10x-6=0
- lg^2(x^2)+lg(10*x)-6=O
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Similar expressions
- lg^2(x^2)-lg(10*x)-6=0
- lg^2(x^2)+lg(10*x)+6=0
lg^2(x^2)+lg(10*x)-6=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2/ 2\ log \x / + log(10*x) - 6 = 0
$$\log{\left(x^{2} \right)}^{2} + \log{\left(10 x \right)} - 6 = 0$$
Sum and product of roots
[src]
sum
_________________ _________________ 1 \/ 97 - 16*log(10) 1 \/ 97 - 16*log(10) - - + ------------------- - - - ------------------- 8 8 8 8 e + e
$$\left(e^{- \frac{1}{8} + \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8}}\right) + \left(e^{- \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8} - \frac{1}{8}}\right)$$
=
_________________ _________________ 1 \/ 97 - 16*log(10) 1 \/ 97 - 16*log(10) - - - ------------------- - - + ------------------- 8 8 8 8 e + e
$$e^{- \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8} - \frac{1}{8}} + e^{- \frac{1}{8} + \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8}}$$
product
_________________ _________________ 1 \/ 97 - 16*log(10) 1 \/ 97 - 16*log(10) - - + ------------------- - - - ------------------- 8 8 8 8 e * e
$$\left(e^{- \frac{1}{8} + \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8}}\right) * \left(e^{- \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8} - \frac{1}{8}}\right)$$
=
-1/4 e
$$e^{- \frac{1}{4}}$$
Rapid solution
[src]
_________________
1 \/ 97 - 16*log(10)
- - + -------------------
8 8
x_1 = e
$$x_{1} = e^{- \frac{1}{8} + \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8}}$$
_________________
1 \/ 97 - 16*log(10)
- - - -------------------
8 8
x_2 = e
$$x_{2} = e^{- \frac{\sqrt{- 16 \log{\left(10 \right)} + 97}}{8} - \frac{1}{8}}$$
Numerical answer
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x1 = 2.32687228904353
x2 = -2.32196649067051 - 0.920558322427066*i
x3 = -2.32196649067051 + 0.920558322427066*i
x3 = -2.32196649067051 + 0.920558322427066*i
The graph