Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x/3/7=9/14
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Equation 2x+9=13-x
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Equation x^2+4x+13=0
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Equation log(3-x)=-1
- Express {x} in terms of y where:
- -17*x-12*y=-4
- 2*x+13*y=-7
- 3*x-9*y=-4
- -4*x-1*y=-6
- Derivative of:
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log(3-x)
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-1
- Limit of the function:
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log(3-x)
- Sum of series:
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-1
- Integral of d{x}:
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-1
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Identical expressions
- log(three -x)=- one
- logarithm of (3 minus x) equally minus 1
- logarithm of (three minus x) equally minus one
- log3-x=-1
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Similar expressions
- log(3+x)=-1
- log(3-x)=+1
- log(3)-x5-1/2=0
- log(1-x,9)=log(48,9)-log(3-x,9)
log(3-x)=-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(3 - x \right)} = -1$$
$$\log{\left(3 - x \right)} = -1$$
This equation is of the form:
By definition log
then
$$3 - x = e^{- 1^{-1}}$$
simplify
$$3 - x = e^{-1}$$
$$- x = -3 + e^{-1}$$
$$x = 3 - e^{-1}$$
$$\log{\left(3 - x \right)} = -1$$
$$\log{\left(3 - x \right)} = -1$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$3 - x = e^{- 1^{-1}}$$
simplify
$$3 - x = e^{-1}$$
$$- x = -3 + e^{-1}$$
$$x = 3 - e^{-1}$$
Sum and product of roots
[src]
sum
-1 (-1 + 3*E)*e
$$\frac{-1 + 3 e}{e}$$
=
-1 (-1 + 3*E)*e
$$\frac{-1 + 3 e}{e}$$
product
-1 (-1 + 3*E)*e
$$\frac{-1 + 3 e}{e}$$
=
-1 (-1 + 3*E)*e
$$\frac{-1 + 3 e}{e}$$
(-1 + 3*E)*exp(-1)
The graph