Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^3-3*x^2-8*x+24=0
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Equation log(3*x)=3
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Equation 2x=-3
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Equation x-1/3=210
- Express {x} in terms of y where:
- -12*x+10*y=2
- 1*x-17*y=10
- 10*x+7*y=-8
- -8*x+11*y=-8
- Derivative of:
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log(3*x)
- Limit of the function:
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log(3*x)
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Identical expressions
- log(three *x)= three
- logarithm of (3 multiply by x) equally 3
- logarithm of (three multiply by x) equally three
- log(3x)=3
- log3x=3
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Similar expressions
- log9x-log3x=log1/95
- 2-log3(x+7)=log(1÷3)(2×x)
- log(3x+7,9+12x+4x2)=4-log(2x+3,6x2+23x+21)
log(3*x)=3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(3 x \right)} = 3$$
$$\log{\left(3 x \right)} = 3$$
This equation is of the form:
By definition log
then
$$3 x = e^{\frac{3}{1}}$$
simplify
$$3 x = e^{3}$$
$$x = \frac{e^{3}}{3}$$
$$\log{\left(3 x \right)} = 3$$
$$\log{\left(3 x \right)} = 3$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$3 x = e^{\frac{3}{1}}$$
simplify
$$3 x = e^{3}$$
$$x = \frac{e^{3}}{3}$$
Sum and product of roots
[src]
sum
3 e -- 3
$$\frac{e^{3}}{3}$$
=
3 e -- 3
$$\frac{e^{3}}{3}$$
product
3 e -- 3
$$\frac{e^{3}}{3}$$
=
3 e -- 3
$$\frac{e^{3}}{3}$$
exp(3)/3
The graph