Mister Exam
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How to use it?
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Equation (x-1)*(x^2+8*x+16)=6*(x+4)
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Identical expressions
- log(x)* sixteen = two
- logarithm of (x) multiply by 16 equally 2
- logarithm of (x) multiply by sixteen equally two
- log(x)16=2
- logx16=2
log(x)*16=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$16 \log{\left(x \right)} = 2$$
$$16 \log{\left(x \right)} = 2$$
Let's divide both parts of the equation by the multiplier of log =16
$$\log{\left(x \right)} = \frac{1}{8}$$
This equation is of the form:
By definition log
then
$$x = e^{\frac{2}{16}}$$
simplify
$$x = e^{\frac{1}{8}}$$
$$16 \log{\left(x \right)} = 2$$
$$16 \log{\left(x \right)} = 2$$
Let's divide both parts of the equation by the multiplier of log =16
$$\log{\left(x \right)} = \frac{1}{8}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{\frac{2}{16}}$$
simplify
$$x = e^{\frac{1}{8}}$$
Sum and product of roots
[src]
sum
1/8 e
$$e^{\frac{1}{8}}$$
=
1/8 e
$$e^{\frac{1}{8}}$$
product
1/8 e
$$e^{\frac{1}{8}}$$
=
1/8 e
$$e^{\frac{1}{8}}$$
exp(1/8)