Question

2 log x = 3 + log x/10

Answer 1

$2 log x = 3 + log \frac{x}{10} \\ \\ \\ logx^2-log \frac{x}{10} = 3 \\ \\ \\ log \left[x^2: \frac{x}{10} \right] = 3 \ simplificamos \\ \\ \\ log \left[x: \frac{1}{10} \right] =3 \\ \\ log (10x) =3 \qquad aplicamos \to Log_aB=c \to a^c=B \\ \\ 10^3=10x \\ \\ 1000: 10=x \\ \\ \boxed{100=x}$

Verificación

$2 log 100 = 3 + log \frac{100}{10} \qquad log100= 2 \\ \\ 2*2= 3+log10\qquad\quad log10= 1 \\ \\ 2*2= 3+1 \\ \\ 4=4\quad\checkmark \ significa\ que \ el resultado \ es \ correcto$


Espero que te sirva, salu2!!!!