Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x+(x*3)=168
-
Equation t-4/25=8
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Equation x^2+12*x=0
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Equation x^3=4x
- Express {x} in terms of y where:
- 15*x+2*y=8
- 1*x+4*y=-11
- 5*x-18*y=-17
- 17*x-5*y=15
- Sum of series:
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-2
- Derivative of:
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-2
- Integral of d{x}:
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-2
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Identical expressions
- log(one / nine)(five -x)=- two
- logarithm of (1 divide by 9)(5 minus x) equally minus 2
- logarithm of (one divide by nine)(five minus x) equally minus two
- log1/95-x=-2
- log(1 divide by 9)(5-x)=-2
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Similar expressions
- log(1/9)(5+x)=-2
- log(1/9)(5-x)=+2
log(1/9)(5-x)=-2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
log(1/9)*(5 - x) = -2
$$\left(5 - x\right) \log{\left(\frac{1}{9} \right)} = -2$$
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:
$$2 x \log{\left(3 \right)} - 10 \log{\left(3 \right)} = -2$$
Divide both parts of the equation by (-10*log(3) + 2*x*log(3))/x
We get the answer: x = (-1 + log(243))/log(3)
log(1/9)*(5-x) = -2
Expand expressions:
-10*log(3) + 2*x*log(3) = -2
Reducing, you get:
2 - 10*log(3) + 2*x*log(3) = 0
Expand brackets in the left part
2 - 10*log3 + 2*x*log3 = 0
Move free summands (without x)
from left part to right part, we given:
$$2 x \log{\left(3 \right)} - 10 \log{\left(3 \right)} = -2$$
Divide both parts of the equation by (-10*log(3) + 2*x*log(3))/x
x = -2 / ((-10*log(3) + 2*x*log(3))/x)
We get the answer: x = (-1 + log(243))/log(3)
Sum and product of roots
[src]
sum
-2 + log(59049)
---------------
log(9)
$$\frac{-2 + \log{\left(59049 \right)}}{\log{\left(9 \right)}}$$
=
-2 + log(59049)
---------------
log(9)
$$\frac{-2 + \log{\left(59049 \right)}}{\log{\left(9 \right)}}$$
product
-2 + log(59049)
---------------
log(9)
$$\frac{-2 + \log{\left(59049 \right)}}{\log{\left(9 \right)}}$$
=
-2 + log(59049)
---------------
log(9)
$$\frac{-2 + \log{\left(59049 \right)}}{\log{\left(9 \right)}}$$
(-2 + log(59049))/log(9)
Rapid solution
[src]
-2 + log(59049)
x1 = ---------------
log(9)
$$x_{1} = \frac{-2 + \log{\left(59049 \right)}}{\log{\left(9 \right)}}$$
x1 = (-2 + log(59049))/log(9)