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Kamila [148]
3 years ago
10

9 cm 7 cm 7 cm 9cm 9 cm

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

41

Step-by-step explanation:

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Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value
sineoko [7]

The value of the logarithmic expression  \log _a (\frac{x^3y}{z^4} ) is 24.

Given the following logarithmic expressions \log _ax = 3, \log _ay = 7, \log _az = -2 , we are to find the value of \log _a (\frac{x^3y}{z^4} )

from the above \log _ax = 3, x = a^3

\log _ay = 7, y = a^7

Substituting x = a^3, y = a^7  and z = a^{-2} into the log function\log _a (\frac{x^3y}{z^4} )  we will have;

\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>
  • In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
  • Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0
2 years ago
equation for the sum of three consecutive even integers is 48 less than twice the smallest of the three integers
Karo-lina-s [1.5K]
2x - the first and the smallest even integer
2x+2 - the second even integer
2x+4 - the third even integer

2x+2x+2+2x+4=2 \cdot 2 x-48 \\&#10;6x+6=4x-48 \\&#10;2x=-54 \\ \\&#10;2x=-54 \\&#10;2x+2=-54+2=-52 \\&#10;2x+4=-54+4=-50

These three consecutive even integers are -54, -52 and -50.
3 0
3 years ago
Hey anybody plz help me ;C
jekas [21]

Answer:

her equation should be a² + 3² = 4²

Step-by-step explanation:

a² + 3² = 4²

a² + 9 = 16

a² = 7

a = \sqrt{7}

a ≈ 2.6 inches

3 0
3 years ago
What is the product of (4x + 3)(-2x - 5)?
Yuki888 [10]

Answer:

A) -8x^2 - 26x - 15

Step-by-step explanation:

(4x + 3)(-2x - 5)

FOIL

first:  4x*-2x = -8x^2

outer : -5*4x = -20x

inner: -2x*3 = -6x

last: -5*3 = -15

Add these together

-8x^2 -20x-6x -15

-8x^2 -26x-15


5 0
3 years ago
Given parallelogram efgh what is the length of side ef
LekaFEV [45]

Answer:

23

Step-by-step explanation:

first, you solve for side EH, and set it equal to 33, which is the side that corresponds to EH. After you have the value for x, plug it into the equation for HG, then solve.

3 0
3 years ago
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