Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x-1)*(x^2+8*x+16)=6*(x+4)
- Equation x^3+2*x^2-36*x-72=0
-
Equation (x+10)^2=(2-x)^2
-
Equation sinx=1/4
- Express {x} in terms of y where:
- 4*x+11*y=9
- -16*x+16*y=11
- -20*x-1*y=3
- 15*x+9*y=-3
- Integral of d{x}:
- -lgx
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Identical expressions
- six =-lgx
- 6 equally minus lgx
- six equally minus lgx
-
Similar expressions
- 3*lg(x,10)-lg(x^3-2,10)=1
- lg(3*x^2-2*x)=1-lg(x*2)
- 1/5-lg(x)+2/1+lg(x)=10
- -lg(x)=8
- 6=+lgx
6=-lgx equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$6 = - \log{\left(x \right)}$$
Transfer the right side of the equation left part with negative sign
$$\log{\left(x \right)} = -6$$
This equation is of the form:
By definition log
then
$$x = e^{- \frac{6}{1}}$$
simplify
$$x = e^{-6}$$
$$6 = - \log{\left(x \right)}$$
Transfer the right side of the equation left part with negative sign
$$\log{\left(x \right)} = -6$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{- \frac{6}{1}}$$
simplify
$$x = e^{-6}$$
Sum and product of roots
[src]
sum
-6 e
$$e^{-6}$$
=
-6 e
$$e^{-6}$$
product
-6 e
$$e^{-6}$$
=
-6 e
$$e^{-6}$$
exp(-6)