NO LINKS!! Please help with these notes. Part 2a

[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.