Respuesta :

[tex]\\ \tt\hookrightarrow log_6216=x[/tex]

[tex]\\ \tt\hookrightarrow 216=6^x[/tex]

[tex]\\ \tt\hookrightarrow 6^3=6^x[/tex]

[tex]\\ \tt\hookrightarrow x=3[/tex]

Answer:

[tex] log_{6}216 = x[/tex]

[tex] {6}^{x} = 216[/tex]

[tex] {6}^{x} = {6}^{3} [/tex]

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

[tex]x = 3[/tex]

Thus,the variable x equals 3.