Question

Добрый вечер, я пропустил темуДобрый вечер, я пропустил темуДобрый вечер, я пропустил тему "логарифмы", объясните пожалуйста. Спасибо!log 81 + log 27 - log 1 = ? 3 9 3

Answer 1

Тема совсем несложная)))

Answer 2

Log 81 это степень в которую надо возвести число  число 3 ,3*4=81,значит

log 81=4
    3
log 27=log 3³=1.5 так как 3² надо возвести в степень 1.5 чтобы получить 3³    
    3²
log 1=0   так как 3*0=1
     3

4+1.5-0=5.5

Answer 3

Logarithms: An Explanation

Logarithms are mathematical functions that are used to solve equations involving exponential expressions. They are the inverse operations of exponentiation. In simpler terms, logarithms help us find the exponent to which a given base must be raised to obtain a certain number.

The most commonly used logarithm is the base 10 logarithm, denoted as log10. However, logarithms can have different bases, such as the natural logarithm with base e (approximately 2.71828), denoted as ln.

To solve the equation log81 + log27 - log1 = ?, we need to understand the properties of logarithms and how they can be manipulated.

Logarithmic Properties

1. Product Rule: logb(x * y) = logb(x) + logb(y) 2. Quotient Rule: logb(x / y) = logb(x) - logb(y) 3. Power Rule: logb(x^a) = a * logb(x)

Using these properties, we can simplify the given equation:

log81 + log27 - log1 = log(81 * 27 / 1)

Applying the product and quotient rules:

= log(81 * 27) - log(1)

= log(2187) - log(1)

Since log(1) = 0, the equation simplifies to:

= log(2187) - 0

Evaluating the Logarithm

To evaluate log(2187), we need to determine the base of the logarithm. In this case, the base is not specified, so we'll assume it is the base 10 logarithm.

Using a calculator or mathematical software, we find that log10(2187) is equal to 3.340.

Therefore, the final answer to the equation log81 + log27 - log1 = ? is:

3.340 - 0 = 3.340

So, the answer is 3.340.

I hope this explanation helps! Let me know if you have any further questions.