Помогите! Определите: log(a)500 - log(a)4, если log(5)a =1/4

Question

Помогите! Определите: log(a)500 - log(a)4, если log(5)a =1/4

Answer 1

log(a)500-log(a)4=log(a)(500/4)=log(a)(5^3)=3log(a)5=3/log(5)a=3*4=12

Answer 2

Log5 a= 1/4
a= 5^1/4
log 5^1/4 500/4=x
(5^1/4)^x=125
5^1/4x=5^3
(1/4)x=3
x=3*4=12