Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 13/(x+6)=2
-
Equation x^2=18
-
Equation -3(x-1)=24-10x
- Equation 7*x^3-63*x=0
- Express {x} in terms of y where:
- 14*x+5*y=11
- 8*x-7*y=-1
- 20*x-5*y=-7
- 3*x-9*y=-4
- Derivative of:
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log(x-3)
- Graphing y =:
- log(x-3)
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Identical expressions
- log(x- three)= two
- logarithm of (x minus 3) equally 2
- logarithm of (x minus three) equally two
- logx-3=2
-
Similar expressions
- log(x)-3+1/x=0
- log(3)^(2)*x-7*log(x)-3=0
- log(x+3)=2
log(x-3)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\log{\left(x - 3 \right)} = 2$$
$$\log{\left(x - 3 \right)} = 2$$
This equation is of the form:
By definition log
then
$$x - 3 = e^{\frac{2}{1}}$$
simplify
$$x - 3 = e^{2}$$
$$x = 3 + e^{2}$$
$$\log{\left(x - 3 \right)} = 2$$
$$\log{\left(x - 3 \right)} = 2$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x - 3 = e^{\frac{2}{1}}$$
simplify
$$x - 3 = e^{2}$$
$$x = 3 + e^{2}$$
Sum and product of roots
[src]
sum
2 3 + e
$$3 + e^{2}$$
=
2 3 + e
$$3 + e^{2}$$
product
2 3 + e
$$3 + e^{2}$$
=
2 3 + e
$$3 + e^{2}$$
3 + exp(2)
The graph