Question

log x^2+log x^3+ log x^4-log x^6=log 16

Answer 1

Por propiedades de logaritmo se tiene:
2Logx+3Logx+4Logx-6Logx=Log16
3Logx=Log16
Logx=(1/3)Log16
Logx=Log(16^(1/3))
10^(Logx)=10^(Log(16^(1/3))=
x=16^(1/3)

Entonces x es igual a la raíz cúbica de 16.