In this exercise we have to use the properties of the logarithm to write it in one way, like this:

From these recalling some properties of the logarithm, we find that:
- When the logarithm is equal to the base, the logarithm will always be equal to 1.
- Logarithm of any base, whose logarithm is equal to 1, will always have the result equal to 0.
- Two logarithms with the same base are equal when the logarithms are also equal.
given the equation as:

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Answer:
a factor that will be helpful to excel is when they cheer it motivates you to try harder
Explanation:
Limitations to the right to freedom of expression to the media, such as classified information, help in national security.
<h3>What are the Limitations to the Right to Freedom of Expression of the Media?</h3>
The media have special rights and duties to inform the society on issues that borders on the society for scrutiny, reflection or debate. However, freedom of speech and expression is not absolute as there are certain limitations to such rights a media can have in some cases.
Cases where freedom of expression of the media are restricted may include, sedition, slander, libel, classified information, or even incitement to an offense.
All these are punishable by the law in order to promote public safety and national security. So, these limitations help a lot in these ways.
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<h2>1. Right answer: Observational
</h2>
Kepler formulated the three laws of planetary motion <u>from observations made by</u> the Danish astronomer <u>Tycho Brahe of the orbit of Mars.
</u>
These laws were enunciated to mathematically describe the movement of the planets in their orbits around the Sun. However, the scientific resources existing in his time did not allow him to prove these laws. It was Newton who did it after having developed the Differential and Integral Calculus and formulating the Laws of Universal Gravitation.
<h2>2. Right answer: Aristotelian
</h2>
Aristotle mistakenly thought that the Earth was the center of the universe, thus establishing a <u>geocentric cosmological model.
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According to this model, Aristotle proposed that the universe (the cosmos) was spherical and finite, with the Earth immobile at its center, composed of the four fundamental elements (made up of spherical layers): ground, water, air and fire; and the Sun along with the fixed planets in their respective concentric spheres revolving around the Earth. The outermost sphere being that of the stars and all these external elements being made of a fifth element which he called ether.
Answer:
the element must be in the fifth, sixth, or seventh energy shells.
Explanation:
Because the first ionization energy is less than calcium's, the element must be larger and in the next energy shell. Calcium is in the fourth energy shell, so the element must be in the fifth, sixth, or seventh energy shells.