Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2=-7
- Equation 3*t+y=16
- Equation 25x=-
- Equation 5+×=16
- Express {x} in terms of y where:
- 14*x-12*y=-14
- -11*x+9*y=-10
- -4*x+11*y=13
- 3*x-12*y=15
-
Identical expressions
- -lg(x)= eight
- minus lg(x) equally 8
- minus lg(x) equally eight
- -lgx=8
-
Similar expressions
- 3,5=-lg(x*0,0078)
- lg(x)=8
-lg(x)=8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$- \log{\left(x \right)} = 8$$
$$- \log{\left(x \right)} = 8$$
Let's divide both parts of the equation by the multiplier of log =-1
$$\log{\left(x \right)} = -8$$
This equation is of the form:
By definition log
then
$$x = e^{\frac{8}{-1}}$$
simplify
$$x = e^{-8}$$
$$- \log{\left(x \right)} = 8$$
$$- \log{\left(x \right)} = 8$$
Let's divide both parts of the equation by the multiplier of log =-1
$$\log{\left(x \right)} = -8$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{\frac{8}{-1}}$$
simplify
$$x = e^{-8}$$
Sum and product of roots
[src]
sum
-8 e
$$e^{-8}$$
=
-8 e
$$e^{-8}$$
product
-8 e
$$e^{-8}$$
=
-8 e
$$e^{-8}$$
exp(-8)