Question

1. Resolver:
Logx-8 ( x2-16) = 2
a) (5)
b) (12)
c) ( 16)
d) (1 )
e) ( 20 )

Answer 1

Respuesta

$\frac{\log \left(x^2-16\right)}{\log \left(x-8\right)}=2 \\\\\log \left(x^2-16\right)=2\log \left(x-8\right)\\\\x^2-16=\left(x-8\right)^2\\\\\\x^2-16=x^2-16x+64\\x^2-16=x^2-16x\\\\x^2-\left(x^2-16x\right)=x^2-16x+80-\left(x^2-16x\right)\\16x=80\\x=5$

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