Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation cos(x)=-3
-
Equation x²-6x+5=0
-
Equation (5+7*a)*15=-30
-
Equation 1/2x=5
- Express {x} in terms of y where:
- -3*x-18*y=-15
- 20*x-10*y=6
- 17*x-8*y=8
- 3*x+15*y=5
- Graphing y =:
- log(1/2)x+2
- x-4
- Integral of d{x}:
-
x-4
- Derivative of:
-
x-4
-
Identical expressions
- log(one / two)x+ two =x- four
- logarithm of (1 divide by 2)x plus 2 equally x minus 4
- logarithm of (one divide by two)x plus two equally x minus four
- log1/2x+2=x-4
- log(1 divide by 2)x+2=x-4
-
Similar expressions
- log(1/2)x-2=x-4
- log(1/2)x+2=x+4
- log(1)/2*(x+2)=-1
- f*x=(cos(x)-4)/((2*x^2))
log(1/2)x+2=x-4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Expand brackets in the left part
Move free summands (without x)
from left part to right part, we given:
$$- x \log{\left(2 \right)} = x - 6$$
Move the summands with the unknown x
from the right part to the left part:
$$- x - x \log{\left(2 \right)} = -6$$
Divide both parts of the equation by (-x - x*log(2))/x
We get the answer: x = 6/(1 + log(2))
log(1/2)*x+2 = x-4
Expand brackets in the left part
log1/2x+2 = x-4
Move free summands (without x)
from left part to right part, we given:
$$- x \log{\left(2 \right)} = x - 6$$
Move the summands with the unknown x
from the right part to the left part:
$$- x - x \log{\left(2 \right)} = -6$$
Divide both parts of the equation by (-x - x*log(2))/x
x = -6 / ((-x - x*log(2))/x)
We get the answer: x = 6/(1 + log(2))
Sum and product of roots
[src]
sum
6 ---------- 1 + log(2)
$$\frac{6}{\log{\left(2 \right)} + 1}$$
=
6 ---------- 1 + log(2)
$$\frac{6}{\log{\left(2 \right)} + 1}$$
product
6 ---------- 1 + log(2)
$$\frac{6}{\log{\left(2 \right)} + 1}$$
=
6 ---------- 1 + log(2)
$$\frac{6}{\log{\left(2 \right)} + 1}$$
6/(1 + log(2))
Rapid solution
[src]
6
x1 = ----------
1 + log(2)
$$x_{1} = \frac{6}{\log{\left(2 \right)} + 1}$$
x1 = 6/(log(2) + 1)