Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2+2x+1=0
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Equation cos(x/2)=1/2
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Equation (x+7)^3=216
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Equation e^x-x=0
- Express {x} in terms of y where:
- 19*x+2*y=17
- 8*x-9*y=-1
- 13*x-1*y=-20
- -6*x+11*y=-5
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Identical expressions
- log(x)+log(x- three)= one
- logarithm of (x) plus logarithm of (x minus 3) equally 1
- logarithm of (x) plus logarithm of (x minus three) equally one
- logx+logx-3=1
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Similar expressions
- log(x)+log(x+3)=1
- log(x)-log(x-3)=1
log(x)+log(x-3)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
log(x) + log(x - 3) = 1
$$\log{\left(x \right)} + \log{\left(x - 3 \right)} = 1$$
Sum and product of roots
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sum
_________ 3 \/ 9 + 4*E - + ----------- 2 2
$$\frac{3}{2} + \frac{\sqrt{9 + 4 e}}{2}$$
=
_________ 3 \/ 9 + 4*E - + ----------- 2 2
$$\frac{3}{2} + \frac{\sqrt{9 + 4 e}}{2}$$
product
_________ 3 \/ 9 + 4*E - + ----------- 2 2
$$\frac{3}{2} + \frac{\sqrt{9 + 4 e}}{2}$$
=
_________ 3 \/ 9 + 4*E - + ----------- 2 2
$$\frac{3}{2} + \frac{\sqrt{9 + 4 e}}{2}$$
3/2 + sqrt(9 + 4*E)/2
Rapid solution
[src]
_________
3 \/ 9 + 4*E
x1 = - + -----------
2 2
$$x_{1} = \frac{3}{2} + \frac{\sqrt{9 + 4 e}}{2}$$
x1 = 3/2 + sqrt(9 + 4*E)/2