Question

Resolver ecuación logarítmica

㏒₃9-㏒₃x=2

Answer 1

log3 9/x=2
9=9/x
9x=9
x=9/9
x=1

Answer 2

Respuesta y proceso:

log_3(9) - log_3(x) = 2

$log_3 (9) - log_3 (x) = 2\\\\2 - log_3 (x)= 2\\\\-log_3(x)=2-2\\\\-log_3(x)=0\\\\-3^0=x\\\\-1=x\\\\x=1\\\\Comprobacion\\\\log_3 (9) - log_3 (1) = 2\\2-0=2\\2=2$