50 балов!Логорифмы!Решите пожалуйста!. Created by MrSaint. algebra-ru

50 балов!Логорифмы!Решите пожалуйста!...

July 2022 1 11 Report

50 балов!Логорифмы!Решите пожалуйста!

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mikael2 Log3 32.4-log3 1.2 = log3 32.4/1.2=log3 27=3

81^log9 0.2=9^2log9 0.2=9^log9 0.2²=9^log9 0.04=0.04

log49 343^6⁻¹=log7² (343)^6⁻¹=1/6*1/2log7 7³=3/12 log7 7=3/12=0.25

log0.5 (log5 625)=log0.5 (log5 5⁴)=log0.5 4=log2⁻¹ (2²)=-2log2 2=-2

№2
log 0.25 (6x-5)=-2 6x-5>0 x>5/6
6x-5=0.25⁻² =1/0.25²=1/0.0625=16 2x-5=16 2x=21 x=10.5
----------------------
log12 (12-24x)=log12(36-48x)-1 12-24x>0 24x<12 x<0.5
36-48x>0 48x<36 x<0.75
1=log12 12 log12 (36-48x) - log12 12 = log12 (36/12-48x/12)=
=log12 (3-4x)
log12 (12-24x)=log12 (3-4x) 12-24x=3-4x 20x=9 x=9/20<0.5
-------------------------
log x-5 64=6 x-5>0 x>5; x-5≠1 x≠6
1/log64 (x-5)=6 log64(x-5)=6⁻¹ log2⁶(x-5)=6⁻¹₎ 1/6log2(x-5)=1/6
log2 (x-5)=1 x-5=2 x=7

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mikael2 а где писать решение?

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