найти значение выражения:[tex](log_{0,5}^{2}80-log_{2}^{2}1,25)\cdot lg8[/tex]. Created by ildarklopov. matematika-ru

tex]...

ildarklopov @ildarklopov

July 2022 1 16 Report

найти значение выражения:

[tex](log_{0,5}^{2}80-log_{2}^{2}1,25)\cdot lg8[/tex]

Answers & Comments

NNNLLL54

Verified answer

$(log^2_{0,5}\, 80-log_2^2\, 1,25)\cdot lg8=A\\\\\star \; \; log_{0,5}80=log_{2^{-1}}(2^4\cdot 5)=-log_2(2^4\cdot 5)=-(log_22^4+log_25)=\\\\=-4-log_25=-(4+log_25)\; \; \star \\\\\star \; \; log_21,25=log_2\frac{5}{4}=log_25-log_22^2=log_25-2\; \; \star \\\\\star \; \; lg8=\frac{log)28}{log_210}=\frac{log_22^3}{log_2(2\cdot 5)}=\frac{3}{log_22+log_25}=\frac{3}{1+log_25}\\\\A=\Big (log_{0,5}80-log_21,25\Big )\Big (log_{0,5}80+log_21,25\Big )\cdot lg8=\Big [\; a=log_25\; \Big ]=\\\\=(-4-a-a+2)(-4-a+a-2)\cdot \frac{3}{1+a}=$

$=(-2a-2)\cdot (-6)\cdot \frac{3}{1+a}=\frac{-2\cdpt (a+1)\cdot (-6)\cdot 3}{a+1}=2\cdot 6\cdot 3=36$

3 votes Thanks 2

Answers & Comments

Verified answer

tex]...

tex]...

tex]...

tex]...

tex]...

tex]...

ishu zadaniya svyazannye s elektronnymi tablicami excel gde najti mozhet est u ko

tex najdite ploshad treugolnika esli tochka kasaniya delit gipotenuzu v otnosh

2 poluchili 2

tex]...

рекомендуемые вопросы

Helpful Links

Helpful Social