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Tanya [424]
3 years ago
8

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Assuming that b>0 and c>0:

log(a)=3×log(b)-2×log(c)=

log(b³)-log(c²)=

log(b³/c²)

Hence a=b³/c²

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3 years ago
For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12
sleet_krkn [62]

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



--------------------------------------


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

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for the value of p = 6 , the equations will have infinitely many solutions





5 0
3 years ago
6.Find the equation of<br> the line:<br> through: (-2, 3) and<br> (1,5)
prohojiy [21]

Answer:

y=2/3x+4.3

Step-by-step explanation:

y=mx+c

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-2/3

4.3=c

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