Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x^3+14*x^2-61*x+84=0
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Equation 2x^2+6x=0
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Equation 6(x-3)=12
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Equation 7x+x+3=19
- Express {x} in terms of y where:
- 5*x+4*y=9
- 17*x-5*y=11
- -18*x-16*y=-7
- 18*x-3*y=-12
- Integral of d{x}:
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-2
- Sum of series:
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-2
- Derivative of:
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-2
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Identical expressions
- log(one / seven)(seven -x)=- two
- logarithm of (1 divide by 7)(7 minus x) equally minus 2
- logarithm of (one divide by seven)(seven minus x) equally minus two
- log1/77-x=-2
- log(1 divide by 7)(7-x)=-2
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Similar expressions
- log(1/7)(7+x)=-2
- log(1/7)(7-x)=+2
log(1/7)(7-x)=-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
log(1/7)*(7 - x) = -2
$$\left(7 - x\right) \log{\left(\frac{1}{7} \right)} = -2$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Expand brackets in the left part
Move free summands (without x)
from left part to right part, we given:
$$x \log{\left(7 \right)} - 7 \log{\left(7 \right)} = -2$$
Divide both parts of the equation by (-7*log(7) + x*log(7))/x
We get the answer: x = (-2 + log(823543))/log(7)
log(1/7)*(7-x) = -2
Expand expressions:
-7*log(7) + x*log(7) = -2
Reducing, you get:
2 - 7*log(7) + x*log(7) = 0
Expand brackets in the left part
2 - 7*log7 + x*log7 = 0
Move free summands (without x)
from left part to right part, we given:
$$x \log{\left(7 \right)} - 7 \log{\left(7 \right)} = -2$$
Divide both parts of the equation by (-7*log(7) + x*log(7))/x
x = -2 / ((-7*log(7) + x*log(7))/x)
We get the answer: x = (-2 + log(823543))/log(7)
Rapid solution
[src]
-2 + log(823543)
x1 = ----------------
log(7)
$$x_{1} = \frac{-2 + \log{\left(823543 \right)}}{\log{\left(7 \right)}}$$
x1 = (-2 + log(823543))/log(7)
Sum and product of roots
[src]
sum
-2 + log(823543)
----------------
log(7)
$$\frac{-2 + \log{\left(823543 \right)}}{\log{\left(7 \right)}}$$
=
-2 + log(823543)
----------------
log(7)
$$\frac{-2 + \log{\left(823543 \right)}}{\log{\left(7 \right)}}$$
product
-2 + log(823543)
----------------
log(7)
$$\frac{-2 + \log{\left(823543 \right)}}{\log{\left(7 \right)}}$$
=
-2 + log(823543)
----------------
log(7)
$$\frac{-2 + \log{\left(823543 \right)}}{\log{\left(7 \right)}}$$
(-2 + log(823543))/log(7)