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Sunny_sXe [5.5K]
3 years ago
6

Can anyone help me solve this

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

  ab = 25

  log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

               log₄ a/b = 3

2.- Convert the log to an exponent

                   a/b = 4³

                   a/b = 64      Equation l

                    ab = 25       Equation ll

3.- Solve equation l for a

                  a = 64b

4.- Substitute in equation ll

                   (64b)b = 25

-Simplify

                    64b² = 25

-Solve for b

                         b² = 25/64

                         b = 5/8

5.- Substitute the value of b to find a

                     a = 64(5/8)

-Simplification

                     a = 40                        

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2
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3
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−
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3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
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102
17
x
17
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7 0
4 years ago
What is the measurement of angle 1 plz help me !
Evgen [1.6K]

Answer:

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Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

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x = 10.

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