Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2^x=6-x
-
Equation x^3=4
-
Equation x^2+2x+2=0
-
Equation 3/(x-5)+8/x=2
- Express {x} in terms of y where:
- -1*x-6*y=18
- 6*x-19*y=-18
- -14*x+18*y=0
- -8*x+3*y=-4
- Derivative of:
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lg10x
-
Identical expressions
- lg10x= two , seven
- lg10x equally 2,07
- lg10x equally two , seven
-
Similar expressions
- lg(10*x)^2+lg(x)=0
- lg^10(x^2-3)=0
lg10x=2,07 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(10 x \right)} = \frac{207}{100}$$
$$\log{\left(10 x \right)} = \frac{207}{100}$$
This equation is of the form:
By definition log
then
$$10 x = e^{\frac{207}{100}}$$
simplify
$$10 x = e^{\frac{207}{100}}$$
$$x = \frac{e^{\frac{207}{100}}}{10}$$
$$\log{\left(10 x \right)} = \frac{207}{100}$$
$$\log{\left(10 x \right)} = \frac{207}{100}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$10 x = e^{\frac{207}{100}}$$
simplify
$$10 x = e^{\frac{207}{100}}$$
$$x = \frac{e^{\frac{207}{100}}}{10}$$
Sum and product of roots
[src]
sum
207 --- 100 e ---- 10
$$\frac{e^{\frac{207}{100}}}{10}$$
=
207 --- 100 e ---- 10
$$\frac{e^{\frac{207}{100}}}{10}$$
product
207 --- 100 e ---- 10
$$\frac{e^{\frac{207}{100}}}{10}$$
=
207 --- 100 e ---- 10
$$\frac{e^{\frac{207}{100}}}{10}$$
exp(207/100)/10
Rapid solution
[src]
207
---
100
e
x1 = ----
10
$$x_{1} = \frac{e^{\frac{207}{100}}}{10}$$
x1 = exp(207/100)/10