Question

log (X -7 ) / log(x-1)= 0,5

porfavorrrr r

Answer 1

$\frac{log(x-7)}{log(x-1)} = 0.5\\ log_{x-1}(x-7) = 0.5\\ (x-1)^{\frac{1}{2}} = x-7\\ x-1 = (x-7)^{2}\\ x-1 = x^{2} -14x+49\\ x = 50-14x+x^{2}$

ahora hay que usar la fórmula de bascara

$x_{1} = 7\\ x_{2} = 7$