Решите логарифмы. Три номера
[tex]1) \frac{ lg27+lg3}{lg15-lg5}
...2) lg30 + lg20 - lg6
...3) 0,01^{log_{10}3-1 }
[/tex]
[tex]1) \frac{ lg27+lg3}{lg15-lg5}
...2) lg30 + lg20 - lg6
...3) 0,01^{log_{10}3-1 }
[/tex]
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1) (lg27+lg3)/(lg15-log5)=lg(27*3)/lg(15/5)=lg81/lg3=lg3⁴/lg3=4*lg3/lg3=4.2) lg30+lg20-lg6=lg(30*20/6)=lg(600/6)=lg100=lg10²=2*lg10=2.
3) 0,01^((log₁₀3)-1)=10^(-2*(lg3-1)=10^(lg3⁻²+2)=100*10^lg(1/9)=
=100*(1/9)=100/9.