Mister Exam
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How to use it?
- Equation:
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Equation tan(x/3)+1=0
- Equation |x-3|+|x+2|-|x-4|=3
- Equation 500=lg(x/10^(-12))
- Equation -0,025*x^(3)-17*x^(2)=2930400
- Express {x} in terms of y where:
- -17*x-12*y=1
- -20*x+18*y=5
- -1*x-10*y=-6
- -5*x-3*y=-13
- Sum of series:
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500
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Identical expressions
- five hundred =lg(x/ ten ^(- twelve))
- 500 equally lg(x divide by 10 to the power of ( minus 12))
- five hundred equally lg(x divide by ten to the power of ( minus twelve))
- 500=lg(x/10(-12))
- 500=lgx/10-12
- 500=lgx/10^-12
- 500=lg(x divide by 10^(-12))
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Similar expressions
- 500=lg(x/10^(12))
500=lg(x/10^(-12)) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ x \
500 = log|-------|
\1.0e-12/
$$500 = \log{\left(\frac{x}{1.0 \cdot 10^{-12}} \right)}$$
Detail solution
Given the equation
$$500 = \log{\left(\frac{x}{1 \cdot 10^{-12}} \right)}$$
Transfer the right side of the equation left part with negative sign
$$- \log{\left(1000000000000 x \right)} = -500$$
Let's divide both parts of the equation by the multiplier of log =-1
$$\log{\left(1000000000000 x \right)} = 500$$
This equation is of the form:
By definition log
then
$$1000000000000 x = e^{- \frac{500}{-1}}$$
simplify
$$1000000000000 x = e^{500}$$
$$x = 1 \cdot 10^{-12} e^{500}$$
$$500 = \log{\left(\frac{x}{1 \cdot 10^{-12}} \right)}$$
Transfer the right side of the equation left part with negative sign
$$- \log{\left(1000000000000 x \right)} = -500$$
Let's divide both parts of the equation by the multiplier of log =-1
$$\log{\left(1000000000000 x \right)} = 500$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$1000000000000 x = e^{- \frac{500}{-1}}$$
simplify
$$1000000000000 x = e^{500}$$
$$x = 1 \cdot 10^{-12} e^{500}$$
Rapid solution
[src]
x1 = 1.40359221785284e+205
$$x_{1} = 1.40359221785284 \cdot 10^{205}$$
x1 = 1.40359221785284e+205
Sum and product of roots
[src]
sum
1.40359221785284e+205
$$1.40359221785284 \cdot 10^{205}$$
=
1.40359221785284e+205
$$1.40359221785284 \cdot 10^{205}$$
product
1.40359221785284e+205
$$1.40359221785284 \cdot 10^{205}$$
=
1.40359221785284e+205
$$1.40359221785284 \cdot 10^{205}$$
1.40359221785284e+205