Mister Exam
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How to use it?
- Equation:
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Equation 2x^2-8=0
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Equation sin(x)-sqrt(2)/2=0
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Equation lg(x)/lg(2)=10
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Equation x^2-11x+30=0
- Express {x} in terms of y where:
- -8*x-3*y=0
- -7*x-13*y=10
- 2*x+13*y=-7
- 6*x+11*y=9
- Sum of series:
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10
- Derivative of:
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10
- Integral of d{x}:
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10
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Identical expressions
- lg(x)/lg(two)= ten
- lg(x) divide by lg(2) equally 10
- lg(x) divide by lg(two) equally ten
- lgx/lg2=10
- lg(x) divide by lg(2)=10
lg(x)/lg(2)=10 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
log(x) ------ = 10 log(2)
$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} = 10$$
Detail solution
Given the equation
$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} = 10$$
$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} = 10$$
Let's divide both parts of the equation by the multiplier of log =1/log(2)
$$\log{\left(x \right)} = 10 \log{\left(2 \right)}$$
This equation is of the form:
By definition log
then
$$x = e^{\frac{10}{\frac{1}{\log{\left(2 \right)}}}}$$
simplify
$$x = 1024$$
$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} = 10$$
$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} = 10$$
Let's divide both parts of the equation by the multiplier of log =1/log(2)
$$\log{\left(x \right)} = 10 \log{\left(2 \right)}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{\frac{10}{\frac{1}{\log{\left(2 \right)}}}}$$
simplify
$$x = 1024$$
Sum and product of roots
[src]
sum
1024
$$1024$$
=
1024
$$1024$$
product
1024
$$1024$$
=
1024
$$1024$$
1024
The graph