Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

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28-01-2015
Mathematics

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Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Sagot :

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Naǫidn Naǫidn · Answer 1 · 2015-01-29T14:50:04-05:00

Naǫidn Naǫidn

29-01-2015

[tex](\sqrt{7})^{6x}=49^{x-6} \\ (7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\ 7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\ 7^{3x}=7^{2x-12} \\ 3x=2x-12 \\ 3x-2x=-12 \\ x=-12[/tex]

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