Work out the value of x in the equ (1)/(8^(17))=8^(x)

1. The given equation is .2. To solve for , we can rewrite the equation in terms of the same base. 3. Since , the equation can be rewritten as: \(\frac{1}{(2^3)^{17}} = 2^{3x}\)4. Simplifying, we get: 5. Equating the exponents, we have: 6. Solving for , we get: .