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julia-pushkina [17]
3 years ago
12

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• log_{b} x = \frac{log_{c}x }{log_{c}b }

where c represents the new base

Changing the base from 2 to 10

log_{2} 11 = \frac{log_{10}11 }{log_{10}2 } ≈ 3.4594

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stiv31 [10]
It is between c 12 and d 13
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6 0
3 years ago
Read 2 more answers
What is the value of 5k2−6 when k = 9?
Anarel [89]

Answer:

84

Step-by-step explanation:

Plug in 9 for k.

5(9)(2) - 6

first: (9)(2) = 9 x 2 = 18

5(18) - 6

second: 5(18) = 5 x 18 = 90

last: 90 - 6 = ?

84

hope this helps

5 0
2 years ago
Deva bought 9 1/2 m of cloth for rupees 28 1/2.Samruth buys 26 1/3 m of same cloth. how much should samruth pay the shopkeeper?
likoan [24]

For this case we can make the following rule of three:

9 1/2 m --------------> 28 1/2 rupees

26 1/3 m -------------> x

From here, we clear the value of x.

We have then:

x = (\frac{26+\frac{1}{3}}{9+\frac{1}{2}}) (28+\frac{1}{2})

Rewriting we have:

x = (\frac{\frac{79}{3}}{\frac{19}{2}}) (\frac{57}{2})

x = (\frac{158}{57}) (\frac{57}{2})

x = \frac{158}{2}

x = 79

Answer:

samruth should pay 79 rupees to the shopkeeper

5 0
3 years ago
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equatio
natita [175]

Answer:

The equation, y=3 x,

Step-by-step explanation:

y=Distance traveled

x =Total time

Also, in terms of straight line

Slope =3= uniform Velocity

Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).

→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.

6 0
3 years ago
A) An empty bulldozer weighed 5 8 ⁄10 tons. If it scooped up 7 1 ⁄10 tons of dirt, what would be the combined weight of the bull
irakobra [83]

Answer: 12 9/10 and 10 7/8

Step-by-step explanation:

5 8/10 plus 7 1/10 equals 12 9/10

8 5/8 plus 2 2/8 equals 10 7/8

6 0
3 years ago
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