Question

Log4 log3 log2 x=1/2

Answer 1

Ответ:

Решение на фотографии.

Answer 2

Ответ:

512

Объяснение:

2=㏒3㏒2 x

㏒2 x=9

x=2^9

x=512

Answer 3

To solve the equation log4(log3(log2(x))) = 1/2, we'll use the properties of logarithms to simplify the equation. Let's break it down step by step:

1. Start with the given equation: log4(log3(log2(x))) = 1/2.

2. Apply the property of logarithms that states: loga(b) = logc(b) / logc(a). We can rewrite the equation as follows:

   log3(log2(x)) = (1/2) * log3(4).

   Here, we used log4 = log3(4) because 4 is a power of 3.

3. Simplify the right-hand side: (1/2) * log3(4) = (1/2) * 2 = 1.

   The log3(4) simplifies to 2 because 3^2 = 9, and 4 is one less than 9.

4. Now we have: log3(log2(x)) = 1.

5. Rewrite the equation in exponential form: 3^1 = log2(x).

6. Simplify the left-hand side: 3 = log2(x).

7. Rewrite the equation in exponential form: 2^3 = x.

8. Simplify the right-hand side: 8 = x.

Therefore, the solution to the equation log4(log3(log2(x))) = 1/2 is x = 8.