Question

Find the value of x, if (6x)^6 = 6^2^3​

Answer 1

Step-by-step explanation:

36x^6=36

x^6=36/36

X=6√1

x = 1

Answer 2

Answer: ↓

x^6 is the 6th root of 36

Step-by-step explanation:

⇒6^2^3 (an example of tetration) is the same as 6^(2^3), or 6^8.

⇒ (6x)^6 = 6^8

⇒ (6x)^6 is the same as 6^6 * x^6.

⇒6^6 * x^6 = 6^8.

⇒6^2 = 6^(8–6), which is the same as 6^8 / 6^6.

⇒ dividing both sides by 6^6 gives x^6 = 6^2.

⇒ 6^2 = 36, so x^6 = 36.

⇒hence, x^6 is the 6th root of 36, or the cube root of 6.