Question

Log⁴ (x+3) +log⁴ (x-3)=2​

Answer 1

Respuesta:

x = 5

 

Explicación paso a paso:

$Log_4(x+3)+Log_4(x-3)=2\\\\Log_4[(x+3)(x-3)]=2\\\\Log_4(x^2-9)=2\\\\4^{Log_4(x^2-9)}=4^2\\\\x^2-9=16\\\\x^2=16+5\\\\x^2=25\\\\x=\sqrt{25}\\\\\boxed{x=5}$