EEAer 2022 questão 54, Se log 2 = 0,3 e log 3 = 0,5, então o valor de log5 : log 0,0072 é

Summary

In this physics and mathematics lesson, the instructor guides students through a problem from the 2022 SPC Aeronautics exam. The problem involves logarithmic operations and the instructor explains how to simplify the equation using logarithmic properties. With a lively and engaging teaching style, the instructor walks through the steps, offering helpful tips and even addressing minor distractions in the background. The explanation involves breaking down complex expressions, utilizing known log values, and working through calculations to arrive at the final answer. The instructor encourages students to engage with the content, like and share the video, and explore additional resources available in the channel's description.

Takeaways

• 😀 The video is a physics or math tutorial focused on solving a logarithmic problem from the SPC Aeronautics exam (2022).
• 😀 The question involves calculating the value of a logarithmic expression using properties of logarithms.
• 😀 The script mentions the specific problem: calculating the value of log(0.0072) using given logarithmic values and properties.
• 😀 The tutor uses step-by-step explanations, simplifying the problem by breaking it down into smaller calculations.
• 😀 Logarithmic properties like multiplication and division rules are used to solve the expression.
• 😀 The tutor addresses background noise from a pet (a dog) to maintain focus on the math tutorial.
• 😀 The value of log(10) is set to 1, while log(2) and log(3) are given as 0.3 and 0.5, respectively.
• 😀 The expression is simplified by applying the properties of logarithms, leading to a manageable result.
• 😀 After simplification, the result is -2.1 divided by 0.7, which gives the final answer of -3.
• 😀 The video encourages engagement by asking viewers to like and share the content, providing additional learning resources in the description.
• 😀 Despite the tutor's voice issues, the video maintains a lighthearted and supportive tone, encouraging viewers to continue learning.

Q & A

What is the main focus of the script?

The script focuses on solving a logarithmic problem from an aviation entrance exam (SPC de Aeronáutica) and demonstrates the solution step by step.

How does the presenter address the audience in the beginning?

The presenter greets the audience with 'bom dia' (good morning) and introduces the lesson, mentioning the goal of tackling the aviation exam question.

What is the given logarithmic equation in the problem?

The equation provided is 'log of 2 = 0.3, log of 3 = 0.5'. The task is to calculate 'log of 0.000072'.

What strategy does the presenter use to solve the logarithmic problem?

The presenter uses properties of logarithms, such as multiplication and division rules, and applies the known values for log(2) and log(3) to simplify the expression.

How does the presenter handle the term 'log of 0.000072'?

The presenter breaks down the term 'log of 0.000072' into a product of logarithms and powers of 10, which simplifies the problem.

What are the key logarithmic properties used in the solution?

The key properties used are the multiplication rule (log(a * b) = log(a) + log(b)) and the division rule (log(a / b) = log(a) - log(b)).

What values are substituted into the equation during the solution?

The values log(2) = 0.3 and log(3) = 0.5 are substituted into the equation, along with the fact that log(10) = 1.

How does the presenter simplify the expression after substitution?

After substitution, the presenter simplifies the expression by performing multiplication and addition of logarithms, followed by dividing the result by log(10).

What is the final result of the calculation?

The final result of the calculation is approximately -3, which matches the value in option A of the multiple-choice answers.

How does the presenter interact with the audience during the lesson?

The presenter interacts informally, offering encouragement, humor, and personal remarks, such as apologizing for their voice failing and making light-hearted comments about their pet destroying a plant.