Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 5*x^2+25*x=0
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Equation 5-x^2=0
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Equation 10x-2(4x-5)=2x+10
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Equation (18x-19)-(4-7x)=-73
- Express {x} in terms of y where:
- 7*x-19*y=-8
- -8*x-8*y=14
- -13*x+13*y=-20
- 10*x-18*y=-6
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Identical expressions
- logx(eight)= three
- logarithm of x(8) equally 3
- logarithm of x(eight) equally three
- logx8=3
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Similar expressions
- 0=x^3*log(x)^(8)
- log(7x^4-(x^4-9)^(1/2)+x^2+8)=log(x^8-(x^4-9)^(1/2)+x^2-10)
logx(8)=3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$8 \log{\left(x \right)} = 3$$
$$8 \log{\left(x \right)} = 3$$
Let's divide both parts of the equation by the multiplier of log =8
$$\log{\left(x \right)} = \frac{3}{8}$$
This equation is of the form:
By definition log
then
$$x = e^{\frac{3}{8}}$$
simplify
$$x = e^{\frac{3}{8}}$$
$$8 \log{\left(x \right)} = 3$$
$$8 \log{\left(x \right)} = 3$$
Let's divide both parts of the equation by the multiplier of log =8
$$\log{\left(x \right)} = \frac{3}{8}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{\frac{3}{8}}$$
simplify
$$x = e^{\frac{3}{8}}$$
Sum and product of roots
[src]
sum
3/8 e
$$e^{\frac{3}{8}}$$
=
3/8 e
$$e^{\frac{3}{8}}$$
product
3/8 e
$$e^{\frac{3}{8}}$$
=
3/8 e
$$e^{\frac{3}{8}}$$
exp(3/8)