Question

Solve log2(x+2)-log2 3=6

Answer 1

log a - log b = log (a/b)

Answer 2

take (e) for both side
\[\log_2 (x+2)-\log_2(3)=6\]
\[e ^{\log_2(x+2)}-e ^{\log_2(3)}=e ^{6}\]
\[x+2-3=e ^{6}\]

Answer 3

Thank you for your assistance.

Answer 4

@Aj01, that is incorrect... the base is 2 not "e"

Answer 5

\[\large 2 ^{\log_2 (\frac{x+2}{3})} = 2^6\]
\[\frac{x+2}{3} = 2^6\]