Answer:
x = 5/3
Step-by-step explanation:
We have the fifth root of 8^3 and we want it equal to 8
(8^3) ^ (1/5) ^x = 8
We know that a^b^c = a^ (b*c)
8 ^ (3*1/5x) = 8
8 ^ (3/5x) = 8
We can rewrite 8 as 8^1
8 ^ (3/5x) = 8^1
The exponents must be the same
3/5 x = 1
Multiply each side by 5/3 to isolate x
5/3 * 3/5x = 1 * 5/3
x = 5/3
