Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-2)^2+(x-3)^2=2x^2
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Equation 3x^2-5x-2=0
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Equation 2(7x-7)=7(2x-3)+7
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Equation sqrt(x^3-4*x^2-10*x+29)=3-x
- Express {x} in terms of y where:
- -6*x-2*y=-10
- 18*x+14*y=-11
- -8*x-12*y=15
- sin(xy)+cos(xy)=tg(x+y)
- Derivative of:
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-2
- Integral of d{x}:
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-2
- Sum of series:
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-2
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Identical expressions
- logx1/ four =- two
- logarithm of x1 divide by 4 equally minus 2
- logarithm of x1 divide by four equally minus two
- logx1 divide by 4=-2
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Similar expressions
- logx1/4=+2
logx1/4=-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{\log{\left(x \right)}}{4} = -2$$
$$\frac{\log{\left(x \right)}}{4} = -2$$
Let's divide both parts of the equation by the multiplier of log =1/4
$$\log{\left(x \right)} = -8$$
This equation is of the form:
By definition log
then
simplify
$$x = e^{-8}$$
$$\frac{\log{\left(x \right)}}{4} = -2$$
$$\frac{\log{\left(x \right)}}{4} = -2$$
Let's divide both parts of the equation by the multiplier of log =1/4
$$\log{\left(x \right)} = -8$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
-2
---
1/4
x = e simplify
$$x = e^{-8}$$
Sum and product of roots
[src]
sum
-8 e
$$e^{-8}$$
=
-8 e
$$e^{-8}$$
product
-8 e
$$e^{-8}$$
=
-8 e
$$e^{-8}$$
exp(-8)