Write as a sum or difference of logs while using exponents or radicals. Log base6 of 22√x/a

Answer 1

log_6( 22 * sqrt(x/a) ) =

log_6( 22) + log_6( sqrt(x/a)) =

log_6( 22) + 1/2 * log_6( x/a) =

log_6( 22) + 1/2 [ log_6(x) - log 6(a) ]

log_6(22) + 1/2 * log_6(x) - 1/2 * log_6(a)