Свойства логарифма Вычислите:. Created by faraon666. algebra-ru

Свойства логарифма Вычислите:...

faraon666 @faraon666

August 2022 1 13 Report

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AntVa

1) log₆108*12-log₆6=log₆6⁴-1=4-1=3;

2) log₂(1/√2)-log₂(1/√2)=log₂(1/√2:1/√2)=log₂1=0;

3) $\frac{(log_510-log_52)(log_510+log_52)}{log_320}=log_55log_520:\frac{log_520}{log_53}=log_53$

4) $4^{0,5}*4^{-log_25}-log_3(\frac{1}{3}*log_55)=2*(\frac{1}{2^{log_25}})^2-log_33^{-1}=2*(\frac{1}{5})^2+log_33=\frac{2}{25}+1=1\frac{2}{25}$

5) $lg5*(lg10+lg2)+lg^22=lg5*(1+lg2)+lg^22=lg5+lg2*lg5+lg^22=lg5+lg2(lg5+lg2)=lg5+lg2(lg10)=lg5+lg2=lg10=1$

6) $log_{5^{0,5}}2^2log_{7^2}5*log_{2^3}7=\frac{2}{0,5*2*3}log_52log_75*log_27=\frac{2}{3}\frac{lg2}{lg5}\frac{lg5}{lg7}\frac{lg7}{lg2}=\frac{2}{3}$

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Answers & Comments

mol sdelat po obrazcu

gody vtorogo pyatiletnego plana razvitiya narodnogo hozyajstva vyberite odin otvet

sovremenniki ekateriny 2 ne menee 25

pomeshenie osveshaetsya fonaryom s dvumya lampami veroyatnost peregoraniya odnoj lampd583c3aa62c52757cea3fba631435b7e 98342

v treugolnike bcd ugol d100 gradusov ugol c50 gradusov otrezok bn median

najti proizvodnuyu slozhnoj funkcii y2x135

vo skolko raz vozrastyot uglovaya skorost vrashayushegosya kolesa esli centrostremi

vo skolko raz vozrastyot linejnaya skorost vrashayushegosya kolesa esli centrostrem

c2 5 esli malchik prilozhit k gire vertikalnuyu silu 101 n on ne smozhet eyo po

m konechnaya ee dlina ravna s resheniem

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