Question

encuentra el valor de x si 9x-9x-¹=1944​

Answer 1

$9^{x} - 9^{x-1} = 1944\\\\9^{x}(1-9^{-1}) =1944\\\\9^{x}(1-\frac{1}{9} ) = 1944\\ \\9^{x}(\frac{8}{9}) = 1944 \\\\9^{x} = \frac{17496}{8} \\ \\9^{x} = 2187\\\\(3^{2} )^{x} = 3^{7}\\ \\3^{2x} = 3^{7} \\ \\2x = 7\\\\x = 7/2$

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