Solve for x Enter your answer as a fraction or integer if ap

Solve for x. Enter your answer as a fraction or integer (if appropriate). Log_5(6x+14) - log_5(x-9) =3 x=

Solution

log₅(6x+14) -log₅(x-9) =3

log_ab -log_ac =log_a b/c

log₅(6x+14)/(x-9) =3

log_ab =m =>b =a^m

(6x+14)/(x-9) =5³

(6x+14)/(x-9) =125

6x+14=125x -1125

125x-6x =1125+14

119x=1139

x=1139/119