Log3(x)+log5(x)=log81(15)

Question

Log3(x)+log5(x)=log81(15)

Comments

в скобках основания логарифмов?

Answer 1

Log(3)x +(log(3)x)/log(3)5=
(1/4)(log(3)3 +log(3)5),
(Log(3)x)(log(3)5+1)/log(3)5=
(1/4)(1+log(3)5),
Log(3)x=log(3)(5^(1/4)),
x=5^(1/4)