Respuesta :

ANSWER:

x = 1000

STEP-BY-STEP EXPLANATION:

We have the following equation:

[tex]2\log_{10}(x)=6[/tex]

We solve for x, just like this:

[tex]\begin{gathered} \operatorname{\log}_{10}(x)=\frac{6}{2} \\ \\ \operatorname{\log}_{10}(x)=3 \\ \\ x=10^3 \\ \\ x=1000 \\ \\ \text{ Check the solution:} \\ \\ 2\operatorname{\log}_{10}(1000)=6 \\ \\ 2\cdot3=6 \\ \\ 6=6\rightarrow\text{ true } \end{gathered}[/tex]

The value of x is equal to 1000