Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 8-3/5x=17
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Equation 2*cos(x)=0
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Equation 9*(x-1)=x+15
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Equation (x-3)^2-(x+1)^2=12
- Express {x} in terms of y where:
- 14*x-17*y=-4
- 17*x+14*y=-17
- 13*x-18*y=-16
- -6*x-7*y=5
- Sum of series:
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-1
- Integral of d{x}:
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-1
- Derivative of:
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-1
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Identical expressions
- logx3√(seven * ten √(seven))=- one
- logarithm of x3√(7 multiply by 10√(7)) equally minus 1
- logarithm of x3√(seven multiply by ten √(seven)) equally minus one
- logx3√(710√(7))=-1
- logx3√710√7=-1
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Similar expressions
- logx3√(7*10√(7))=+1
logx3√(7*10√(7))=-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
__________
/ ___
log(x)*3*\/ 70*\/ 7 = -1
$$3 \log{\left(x \right)} \sqrt{70 \sqrt{7}} = -1$$
Detail solution
Given the equation
$$3 \log{\left(x \right)} \sqrt{70 \sqrt{7}} = -1$$
$$3 \sqrt{10} \cdot 7^{\frac{3}{4}} \log{\left(x \right)} = -1$$
Let's divide both parts of the equation by the multiplier of log =3*7^(3/4)*sqrt(10)
$$\log{\left(x \right)} = - \frac{\sqrt{10} \sqrt[4]{7}}{210}$$
This equation is of the form:
By definition log
then
$$x = e^{- \frac{1}{3 \sqrt{10} \cdot 7^{\frac{3}{4}}}}$$
simplify
$$x = e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
$$3 \log{\left(x \right)} \sqrt{70 \sqrt{7}} = -1$$
$$3 \sqrt{10} \cdot 7^{\frac{3}{4}} \log{\left(x \right)} = -1$$
Let's divide both parts of the equation by the multiplier of log =3*7^(3/4)*sqrt(10)
$$\log{\left(x \right)} = - \frac{\sqrt{10} \sqrt[4]{7}}{210}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{- \frac{1}{3 \sqrt{10} \cdot 7^{\frac{3}{4}}}}$$
simplify
$$x = e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
Rapid solution
[src]
4 ___ ____
-\/ 7 *\/ 10
--------------
210
x1 = e
$$x_{1} = e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
x1 = exp(-sqrt(10)*7^(1/4)/210)
Sum and product of roots
[src]
sum
4 ___ ____
-\/ 7 *\/ 10
--------------
210
e
$$e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
=
4 ___ ____
-\/ 7 *\/ 10
--------------
210
e
$$e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
product
4 ___ ____
-\/ 7 *\/ 10
--------------
210
e
$$e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
=
4 ___ ____
-\/ 7 *\/ 10
--------------
210
e
$$e^{- \frac{\sqrt{10} \sqrt[4]{7}}{210}}$$
exp(-7^(1/4)*sqrt(10)/210)