Question

Вычислите7^log 3 36​

Answer 1

Ответ:

0,526339277389844 это ваш ответ

Answer 2

To compute 7^log₃36, we can use the property of logarithms:

logₐ(b) = c is equivalent to a^c = b

So, in this case, we have:

log₃36 = c

Therefore, 3^c = 36

Now, let's find c:

3^2 = 9 3^3 = 27

Since 36 is between 27 and 9, we can estimate c to be between 2 and 3. Let's use trial and error to find a closer value:

3^2.5 ≈ 15.59 3^2.6 ≈ 17.93 3^2.7 ≈ 20.29 3^2.8 ≈ 22.78 3^2.9 ≈ 25.38

It looks like c is approximately 2.8. Now we can find the final result:

7^log₃36 ≈ 7^2.8 ≈ 7^2 * 7^0.8 ≈ 49 * 5.04 ≈ 246.96

So, 7^log₃36 is approximately 246.96.