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Verified Answer :

Neuron

If you would like to solve the equation 8^3 k + 4 = 4^2 k - 1, you can calculate this using the following steps:

8^3 k + 4 = 4^2 k - 1
8^3 k - 4^2 k = - 1 - 4
512 k - 16 k = - 5
496 * k = - 5      /496
k = - 5/496

The correct result would be - 5/496.

Benjamin16

\(8^{3k + 4} = 4^{2k -1} \\ \\ 2^{3(3k+4)} = 2^{2(2k-1)} \\ \\ 2^{9k + 12} = 2^{4k-2} \\ \\ 9k+12 = 4k-2 \\ \\ 5k = -14 \\ \\ \boxed{k = - \frac{14}{5} }\)