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

Question

Question

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

Answer 1

x = -17

Answer 2

1. The given equation is \(\frac{1}{8^{17}} = 8^{x}\). 2. To solve for \(x\), we can rewrite the equation in terms of the same base. 3. Since \(8 = 2^3\), the equation can be rewritten as: \(\frac{1}{(2^3)^{17}} = 2^{3x}\) 4. Simplifying, we get: \(2^{-51} = 2^{3x}\) 5. Equating the exponents, we have: \(-51 = 3x\) 6. Solving for \(x\), we get: \(x = -17\).

Question

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

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