Log5(30)/log30(5)-log5(150)/log6(5)

Question

Log5(30)/log30(5)-log5(150)/log6(5)

Comments

Ребят я ЖДУУ

Answer 1

Смотри во вложении.

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Comments

Спасибо братан))

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Обращайся)

Answer 2

Log(5)30=log(5)(5*6)=log(5)5+log(5)6=1+log(5)6
log(30)5=1/log(5)30=1/(1+log(5)6)
log(5)150=log(5)(25*6)=log(5)25+log(5)6=2+log(5)6
log(6)5=1/log(5)6
получим
(1+log(5)6):1/(1+log(5)6)-(2+log(5)6):1/log(5)6=
=(1+log(5)6)²-(2+log(5)6)*log(5)6=
=1+2log(5)6+log²(5)6-2log(5)6-log²(5)6=1