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egor879
@egor879
August 2021
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Ребят, прошу помогите. Нужно решить. ответы : а) 5, б) 6, в) 7
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sedinalana
Verified answer
Log(a)b=log(c)b/log(c)a
log(a^n)(b^n)=log(a)b
nlog(a)b=log(a)b^n
-------------------------------------------------
a)
log(6)4+log(6)9+1/log(6)4 *2log(6)2 +2=log(6)(4*9)+log(6)4/log(6)4+2=
=log(6)36+1+2=2+3=5
б)
log(2)10+log(2)12-log(2)30 +4=log(2)(10*12/30)+4=log(2)4+4=2+4=6
в)
log(2)6+log(2)10-log(2)15+2^log(2)5=log(2)(6*10/15)+5=log(2)4+5=2+5=7
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Answers & Comments
Verified answer
Log(a)b=log(c)b/log(c)alog(a^n)(b^n)=log(a)b
nlog(a)b=log(a)b^n
-------------------------------------------------
a)
log(6)4+log(6)9+1/log(6)4 *2log(6)2 +2=log(6)(4*9)+log(6)4/log(6)4+2=
=log(6)36+1+2=2+3=5
б)
log(2)10+log(2)12-log(2)30 +4=log(2)(10*12/30)+4=log(2)4+4=2+4=6
в)
log(2)6+log(2)10-log(2)15+2^log(2)5=log(2)(6*10/15)+5=log(2)4+5=2+5=7