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Natali5045456 [20]
3 years ago
6

The expression 2 log x - (3 log y + log z) is equivalent to

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

2 log(x )- (3 log(y)  +  log(z) ) \\  \equiv log( {x}^{2} )  -  log( {y}^{3} )  -  log(z)  \\  \equiv log( \frac{x {}^{2} }{ {y}^{3}  + z} )

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What adds ups to 5 but multiplies to give you 12
qaws [65]
X + y = 5
    xy = 12

x + y = 5
      y = -x + 5

                xy = 12
      x(-x + 5) = 12
  x(-x) + x(5) = 12
       -x² + 5x = 12
             - 12   - 12
-x² + 5x - 12 = 0
 x² - 5x + 12 = 0
x = 5 ± √25 - 48
                2
x = -5 ± √-23
           2
x = -5 ± 4.79i
            2
x = -5 + 4.79i    or    x = -5 - 4.79i
            2                              2
x = -2.5 + 2.395i   or    x = -2.5 - 2.395i
y = -2.5 - 2.395i   or    y = -2.5 + 2.395i

The two numbers that add up to 5 and multiply to 12 is -2.5 ± 2.395i, which is -2.5 + 2.395i and -2.5 - 2.395i.
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Is x= -2 a solution to 3x-6-12?
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