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Makovka662 [10]
2 years ago
8

Why does a logarithmic equation sometimes have an extraneous solution?

Mathematics
2 answers:
jonny [76]2 years ago
6 0

The main reason behind this is using properties of logarithm .

like

when solving

  • log_2(x+2)+log_2(x-3)=3

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

  • (-2)²=(2)²

But

  • -2≠2

Same happens in case of logarithm

Paladinen [302]2 years ago
6 0

Answer:

yeah

Step-by-step explanation: l

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Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

∴ y = 240 + 210(4 - 1) = 870

∵ The difference between each two consecutive terms are constant

  (450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)

∴ The sequence is arithmetic sequence

6 0
3 years ago
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a basketball player looks directly at the rim that is 10 feet high. the angle of elevation from her eye level, which is 6feet ab
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Her horizontal distance to the rim satisfies the ratio
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6 0
3 years ago
Let X denote the time from the present until the stock market hits 25,000. If X ≤ 1, you win $10, 000X. If X > 1, you win not
const2013 [10]

Answer: $6321

Step-by-step explanation:

Expected value is given as exactly what you might think it means intuitively, the return you can expect for some type of action.

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens:(P(x) * n).

he formula for the Expected Value for a binomial random variable is:

P(x) * X.

X is the number of trials and P(x) is the probability of success.

The formula for calculating the Expected Value where there are multiple probabilities is:

E(X) = ∑X * P(X)

The equation is basically the same, but here you are adding the sum of all the gains multiplied by their individual probabilities instead of just one probability.

Calculating the expected value of winning as follows:

Given,

Fx= e^-x, x is greater or equal to 0

Now, P less than or equal to zero =

[-e^-x] ^1

e^-0 - e^-1

= 1 - e^-1

= 0.6321

and P(x>1) = 1-0.6321= 0.3679

Therefore,Let y= amount of winnings.

Based on the above given information,

y= $10000 0

P(y)= 0.6321 0.3679

The expected value of winning:

E(y) = ΣyP(y)

E(y) = 10000 × 0.6321 + 0 × 0.3679

E(y) = $6321

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3 years ago
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There will be 40 students!!!
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Find the GCF of 24 and 30

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2×12             2×15
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The common factors are 1, 2, 3, and 6

That means we can make 6 necklaces, each necklace with 4 jade beads and 5 teak beads. 

8 0
3 years ago
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