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\( x = 2 \)
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Para resolver \( 10^{2x-4} = 1 \), sabemos que cualquier número elevado a la potencia 0 es igual a 1. Entonces, podemos igualar el exponente a 0: \[ 2x - 4 = 0 \] Al resolver esta ecuación, sumamos 4 a ambos lados: \[ 2x = 4 \] Luego, dividimos entre 2: \[ x = 2 \] Así que el valor de \( x \) es 2.