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Elena-2011 [213]
3 years ago
9

Solve 4x+2=12 for using the change of base formula logby=logy over logb

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

4^x +2 =12

4^x = 12-2

4^x=10

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

deff fn [24]3 years ago
3 0

Answer: x = log₄(3/4)  = -0.207

Step-by-step explanation:

when you have the equation:

n^x = b

whe have that:

Logₙ(b) = x

in this case we have the equation:

4^(x+2) = 12

(4^x)*(4^2) = 12

16*4^x = 12

4^x = 12/16 = 3/4

x = log₄(3/4)  = -0.207

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MariettaO [177]

Answer:

a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %

Step-by-step explanation:

a. This is a binomial probability.

Let q = probability of giving out wrong number = 15 % = 0.15

p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75

For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹

= 10(0.15)(0.75)⁹

= 1.5(0.0751)

= 0.1126

= 11.26 %

b. At most one wrong is P(x ≤ 1) = P(0) + P(1)

= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹

= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹

= 0.0563 + 0.01126

= 0.06756

= 6.756 %

≅ 6.76 %

Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.

3 0
3 years ago
The store is 15 min. away from my house, it takes 30 min. to get to and from the store. How come my dad isn't back with milk yet
coldgirl [10]

Answer:

What dad?

Step-by-step explanation:

he ran away. or hes with somebody

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3 years ago
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Answer:

A≈314.16

Step-by-step explanation:

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3 years ago
492032 word form and expanded form
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400,000+90,000+2,000+0+30+02=492,032 is the answer put that and you will get a good grade :)
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The sum of two numbers is 19 and their products is 78. What is the larger number ?
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78 = 2 x 3 x 13
1 x 78
2 x 39 = 78
3 x 26=78
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larger number is 13 
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3 years ago
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