Question

лог по основанию 4 лог по основанию 2 лог по основанию 3 81 вычислите помогите пожалуйста очень прошу​

Answer 1

Ответ:

65 ОТВЕТ

Объяснение:

Answer 2

Calculating Logarithms

To calculate logarithms, we need to know the base of the logarithm and the number for which we want to find the logarithm. In your question, you mentioned calculating logarithms with bases 4, 2, and 3 for the number 81. Let's calculate each logarithm separately:

1. Logarithm with base 4: - The logarithm with base 4 of 81 can be written as log₄(81). - To calculate this logarithm, we need to find the exponent to which 4 must be raised to obtain 81. - In this case, 4 raised to the power of 3 equals 64, and 4 raised to the power of 4 equals 256. - Since 81 is between 64 and 256, the logarithm with base 4 of 81 is between 3 and 4. - Therefore, log₄(81) ≈ 3.5.

2. Logarithm with base 2: - The logarithm with base 2 of 81 can be written as log₂(81). - To calculate this logarithm, we need to find the exponent to which 2 must be raised to obtain 81. - In this case, 2 raised to the power of 6 equals 64, and 2 raised to the power of 7 equals 128. - Since 81 is between 64 and 128, the logarithm with base 2 of 81 is between 6 and 7. - Therefore, log₂(81) ≈ 6.34.

3. Logarithm with base 3: - The logarithm with base 3 of 81 can be written as log₃(81). - To calculate this logarithm, we need to find the exponent to which 3 must be raised to obtain 81. - In this case, 3 raised to the power of 4 equals 81. - Therefore, log₃(81) = 4.

Please note that the approximations provided are rounded to two decimal places for simplicity.

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