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Aliss
@Aliss
August 2021
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Вычислите примеры с логарифмами
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Dema373
Разумеется, все эти правила имеют смысл при соблюдении ОДЗ логарифма: a
> 0,
a
≠ 1,
x
> 0.
2 votes
Thanks 1
MizoriesKun
имеем ввиду , что ㏒ₐx*㏒ₓa=1
9^(㏒₃4)+㏒√₆ 3* ㏒₃36 =3^(2㏒₃4)+㏒√₆ 36* ㏒₃3= 3^(㏒₃4²)+㏒₆⁽¹/₂⁾ 6²* ㏒₃3 =
=4²+4*1=16+4=20
---------------------------------------------------------------------------------------------------------
㏒₃8*㏒₂27-3^(㏒₉25)= ㏒₃27*㏒₂8-3^(㏒⁽₃²⁾ 5²) =3㏒₃3* 3㏒₂2- 3^(㏒₃5) =
=3*3-5=9-5=4
---------------------------------------------------------------------------------------------------
3^(4㏒₃2)+㏒₅√2*㏒₄25= 3^(㏒₃2⁴)+㏒₅25*㏒₂²√2=2⁴+2*(1/4)=16+1/2=16 1/2
---------------------------------------------------------------------------------------------------
10(0,5lg16)+14㏒₃√2*㏒₄81 =10(lg√16)+14㏒₃81*㏒₄√2= 4+14*4*(1/4)=18
1 votes
Thanks 2
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Answers & Comments
9^(㏒₃4)+㏒√₆ 3* ㏒₃36 =3^(2㏒₃4)+㏒√₆ 36* ㏒₃3= 3^(㏒₃4²)+㏒₆⁽¹/₂⁾ 6²* ㏒₃3 =
=4²+4*1=16+4=20
---------------------------------------------------------------------------------------------------------
㏒₃8*㏒₂27-3^(㏒₉25)= ㏒₃27*㏒₂8-3^(㏒⁽₃²⁾ 5²) =3㏒₃3* 3㏒₂2- 3^(㏒₃5) =
=3*3-5=9-5=4
---------------------------------------------------------------------------------------------------
3^(4㏒₃2)+㏒₅√2*㏒₄25= 3^(㏒₃2⁴)+㏒₅25*㏒₂²√2=2⁴+2*(1/4)=16+1/2=16 1/2
---------------------------------------------------------------------------------------------------
10(0,5lg16)+14㏒₃√2*㏒₄81 =10(lg√16)+14㏒₃81*㏒₄√2= 4+14*4*(1/4)=18