Задача 64173 (log5 36 - log5 2)/(log5 9)...

6260626a436ba401f89517d9

20.04.2022 22:44:45

(log5 36 - log5 2)/(log5 9)

5f3ea7e3faf909182968ddd9

20.04.2022 23:05:34

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[m]log_{a}x-log_{a}y=log_{a}\frac{x}{y}[/m]

a>0; a ≠ 1

x>0; y>0

[m]log_{a}b=\frac{log_{c}b}{log_{c}a}[/m] ⇒ log_(5)18/log_(5)9=log_(9)18


(log5 36 – log5 2)/(log5 9)=log_(5)(36/2)/log_(5)9=log_(5)18/log_(5)9=log_(9)18=log_(9)9+log_(9)2=1+log_(9)2