Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation -x^2+5*x-6=0
-
Equation x+4=0
- Equation x-y=7
-
Equation 1/(x-1)^2+2/(x-1)-3=0
- Express {x} in terms of y where:
- -6*x+12*y=11
- -18*x-6*y=-1
- -1*x-17*y=-12
- -2*x+20*y=-2
- Derivative of:
-
log10x
- Graphing y =:
- log10x
-
Identical expressions
- log10x
- logarithm of 10x
-
Similar expressions
- log(10)x=0,102
- log(100x,10)^2+log(10x,10)^2=14+log(1/x,10)
- log(210*x)-3*log(10*x)+2=0
- log10(x)*20=-15
log10x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(10 x \right)} = 0$$
$$\log{\left(10 x \right)} = 0$$
This equation is of the form:
By definition log
then
$$10 x = e^{\frac{0}{1}}$$
simplify
$$10 x = 1$$
$$x = \frac{1}{10}$$
$$\log{\left(10 x \right)} = 0$$
$$\log{\left(10 x \right)} = 0$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$10 x = e^{\frac{0}{1}}$$
simplify
$$10 x = 1$$
$$x = \frac{1}{10}$$
Sum and product of roots
[src]
sum
1/10
$$\frac{1}{10}$$
=
1/10
$$\frac{1}{10}$$
product
1/10
$$\frac{1}{10}$$
=
1/10
$$\frac{1}{10}$$
1/10