вычислите: lg2+lg3/lg3,6+1 lg5+lg4/lg16+lg25 решите пожалуйста очень нужно. Created by MarksKms. algebra-ru

lg16+lg25 решите пожалуйста очень нужно...

MarksKms @MarksKms

August 2022 1 21 Report

вычислите:

lg2+lg3/lg3,6+1

lg5+lg4/lg16+lg25

решите пожалуйста очень нужно

Answers & Comments

dtnth

Verified answer

$\frac{lg2+lg 3}{lg 3.6+1}=\frac{lg (2*3)}{lg 3.6+lg 10}=\frac{lg 6}{lg (3.6*10)}=\frac{lg 6}{lg (36)}=log_{36} 6=\log_{6^2} 6=\frac{1}{2} log_6 =0.5*1=0.5$

$\frac{lg 5+lg 4}{lg 16+lg 25}=\frac{lg (5*4)}{lg (16*25)}=\frac{lg 20}{lg 400}=log_{400} 20=log_20^2 20=\frac{1}{2} log_20 20=0.5*1=0.5$

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