Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2-21=4x
-
Equation x^2-13*x=0
-
Equation 6^x=1
- Equation x^3+6*x^2-x-6=0
- Express {x} in terms of y where:
- 19*x-7*y=2
- -3*x+3*y=10
- 3*x-15*y=-9
- 6*x-13*y=-19
- Derivative of:
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log(4*x)
- Graphing y =:
- log(4*x)
- Limit of the function:
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log(4*x)
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Identical expressions
- log(four *x)= two
- logarithm of (4 multiply by x) equally 2
- logarithm of (four multiply by x) equally two
- log(4x)=2
- log4x=2
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Similar expressions
- log(4/x)/log(4x)+1/(log(4)/log(x))^2=1
- log^24x−log4x^3+2=0
- log(4)(x^2+14(x)+50)/log(4)(x+10)=1
- log(4x+1)/log(2)*log(4x+4)/log(5)+log(4x+2)/log(3)*log(4x+3)/log(4)=2log(4x+2)/log(3)*log(4x+4)/log(5)
log(4*x)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(4 x \right)} = 2$$
$$\log{\left(4 x \right)} = 2$$
This equation is of the form:
By definition log
then
$$4 x = e^{\frac{2}{1}}$$
simplify
$$4 x = e^{2}$$
$$x = \frac{e^{2}}{4}$$
$$\log{\left(4 x \right)} = 2$$
$$\log{\left(4 x \right)} = 2$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$4 x = e^{\frac{2}{1}}$$
simplify
$$4 x = e^{2}$$
$$x = \frac{e^{2}}{4}$$
Sum and product of roots
[src]
sum
2 e -- 4
$$\frac{e^{2}}{4}$$
=
2 e -- 4
$$\frac{e^{2}}{4}$$
product
2 e -- 4
$$\frac{e^{2}}{4}$$
=
2 e -- 4
$$\frac{e^{2}}{4}$$
exp(2)/4
The graph