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soldi70 [24.7K]
4 years ago
9

A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?

Mathematics
1 answer:
siniylev [52]4 years ago
5 0

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• log_{b} x = n ⇔ x = b^{n}, hence

log_{4}(2x - 12) = 3 ⇒ 2x - 12 =  4^{3} = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38


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valentinak56 [21]

Answer:

If you go by normal method, no. of possible passwords that can be created with 26 alphabets are 26X26X26X26 = 456,976

Step-by-step explanation:

. If you do not want to repeat the alphabets, you can use combinations. i.e. C(26, 4) or 26C4 = 358,800 ways

7 0
3 years ago
The function f is defined as follows for the domain given.
Blizzard [7]

Answer:

range ={-6,-2,4,8}

Step-by-step explanation:

The given function is

f(x) = 2x + 2

The domain is given as:

domain = {-4,-2, 1,3}

To find the range, we plug in the domain and solve for the corresponding range value.

When x=-4,

f( - 4) =2 \times   - 4 + 2 =  - 8 + 2 =  - 6

When x=-2,

f( - 2) =2 \times   - 2+ 2 =  - 4+ 2 =  - 2

When x=1,

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When x=3,

f( 3) =2 \times  3 + 2 = 6 + 2 =  8

Therefore the range is {-6,-2,4,8}

3 0
3 years ago
Find the gradient of the line segment between the points (3,-2) and (5,-5). Give your answer in its simplest form.
Paraphin [41]

Answer:

2/7

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gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

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4 0
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san4es73 [151]

Answer:

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Step-by-step explanation:

The solution to the system is where the two graphs intersect.

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Ymorist [56]
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4 years ago
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