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. alphabet line
Explanation:
Technical drawings are the drawings that help in communicating the designs. These designs are the designs that provide the instruction for the manufacturing of any object. The designs are made with the help of lines and line symbols. Line symbols are termed to be alphabet of lines. They help the designers to draw the designs with accuracy. Various lines are drawn that differ in terms of thickness and darkness. These variations helps the designers to mark the design accurately.
Some of the things I would do after winning a $500 prize would be:
- If I won the prize, I would travel to the beach to take a break.
- If I won the prize, I would buy a bike for fun.
- If I won the award, I would invite my wife to dinner at a restaurant.
- If I won the prize, I would give my father a new car.
- If I won the prize, I would donate a part to animal care foundations.
<h3>What is a conditional?</h3>
Conditional sentences are a type of sentence that is characterized by having a verb conjugated in the conditional. This verb tense is used to express:
- Probabilities
- Proposals
- Doubts
- Wishes
To write a sentence in the conditional tense, we must specify what event must happen and the immediate cause or the action that we would do after that condition occurs.
Some examples of conditional sentences with the context of the award obtained for the study of biodiversity in Peru would be:
- If I won the prize, I would travel to the beach to take a break.
- If I won the prize, I would buy a bike for fun.
- If I won the award, I would invite my wife to dinner at a restaurant.
- If I won the prize, I would give my father a new car.
- If I won the prize, I would donate a part to animal care foundations.
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Answer:
because they think they're entitled
Explanation:
I just explained it
The projected population size in 2030 will be : ≈ 44159
First step : determine the population growth rate
Gr = change in population / time
= ( 1500 - 1100 ) / 1 year
= 400 = 36%
<h3>Determine the projected population size </h3>
applying Malthus's population projection.
Pp = P₁ ( 1 + r )ⁿ
where ; P₁ = 1500, r = 0.36 , n = ( 2030 - 2019 ) = 11 years
Pp = 1500 ( 1 + 0.36 )¹¹
= 1500 ( 29.439 )
= 44158.5 ≈ 44159
Hence we can conclude that the projected population size as at 2030 is 44159
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