Question

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

Answer 1

$(\sqrt{7})^{6x}=49^{x-6} \\ (7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\ 7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\ 7^{3x}=7^{2x-12} \\ 3x=2x-12 \\ 3x-2x=-12 \\ x=-12$