Brookesmaidment Brookesmaidment
  • 21-12-2015
  • Mathematics
contestada

which value of k satisfies the equation 8^3k + 4 = 4^2k-1

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Neuron
Neuron Neuron
  • 22-12-2015
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.
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Benjamin16
Benjamin16 Benjamin16
  • 23-12-2015
[tex]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} }[/tex]
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