Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation -x^2+6*x-7=0
-
Equation -x^3+4*x^2+4*x-16=0
-
Equation x/7=6
-
Equation 2x-cosx=0
- Express {x} in terms of y where:
- 10*x+12*y=-12
- 13*x-12*y=10
- -12*x-19*y=16
- 4*x-7*y=11
- Derivative of:
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lgx
- Graphing y =:
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lgx
- Integral of d{x}:
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lgx
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Identical expressions
- lgx=- nine , seventy-five
- lgx equally minus 9,75
- lgx equally minus nine , seventy minus five
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Similar expressions
- lg(x)=-2
- lgx=+9,75
- 70=20lg(x)
- 1.5*8.5-3.5*lg(x^2+15^2)^(1/2)+3
lgx=-9,75 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(x \right)} = - \frac{39}{4}$$
$$\log{\left(x \right)} = - \frac{39}{4}$$
This equation is of the form:
By definition log
then
$$x = e^{- \frac{39}{4}}$$
simplify
$$x = e^{- \frac{39}{4}}$$
$$\log{\left(x \right)} = - \frac{39}{4}$$
$$\log{\left(x \right)} = - \frac{39}{4}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{- \frac{39}{4}}$$
simplify
$$x = e^{- \frac{39}{4}}$$
Sum and product of roots
[src]
sum
-39/4 e
$$e^{- \frac{39}{4}}$$
=
-39/4 e
$$e^{- \frac{39}{4}}$$
product
-39/4 e
$$e^{- \frac{39}{4}}$$
=
-39/4 e
$$e^{- \frac{39}{4}}$$
exp(-39/4)