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Arisa [49]
3 years ago
15

Given log3^2=0.631 and log3^7=1.771, what is log3^14?

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0

Answer:

3.442

Step-by-step explanation:

This means 10^(0.631) is 3^2, and 10^(1.771) is 3^7. Square the second equation on both sides to get 10^(1.771*2)=3^14, so the answer is 1.771*2 or 3.442.

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Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ \frac{5\log(5)}{\log(5)}

or

⇒ 5

Hence,

log₅(3125) = 5

8 0
3 years ago
clara wants to run a total of 5 1/2 miles each lap around the track is 0.25 miles. how many laps around the track does clara nee
NemiM [27]

Answer:

22 laps

Step-by-step explanation:

Clara wants to run 5 1/2 miles, and the track is only 0.25 miles long. This is a fairly easy question, you just need to figure out how many times 5 1/2 goes into 0.25, because she wants to run that amount of miles (I could never run that much).

I hope that answers your question so you understand, and I hope you have a great rest of your day! :)

5 0
3 years ago
What is the formula for the following geometric sequence? -5, -10, -20, -40
Brrunno [24]

Answer:

Subtract five, double, subtract 10, so on.

3 0
3 years ago
How do I solve for x in the first two?
iragen [17]

Answer: X= 7.55cm

Step-by-step explanation:

7 0
3 years ago
Find the value of a.B.find the value of the marked angles
Bond [772]

Answer:

a. 18 b. 119°, 118°

Step-by-step explanation:

a. Given angles are vertical, so they are equal.

6a+11 = 2a+83

6a-2a = 83-11

4a = 72

a = 72/4

a = 18

b. Substituting the value of a in the given angles,

6a+11 = 6*18+11 = 108+11 = 119°

2a+83 = 2*18+83 = 36+83 = 118°

8 0
3 years ago
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