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ale4655 [162]
3 years ago
11

Show that solving the equation 3^2x=4 by taking common logarithms of both sides is equivalent to solving it by taking logarithms

of base 3 of both sides.
Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Case I:  use common logs:

 2x log 3 = log 4, or 2x(0.47712) = 0.60206

 Solving for x, we get 0.95424x = 0.60206, and then x = 0.60206/0.95424.

 x is then x = 0.631

Case II:  use logs to the base 3:

 2x (log to the base 3 of 3) = (log to the base 3 of 4)

 This simplifies to 2x(1) = 2x = (log 4)/log 3 = 1.262.  Finally, we divide this

 result by 2, obtaining x = 0.631

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Marking people as BRAINLIST
Gnesinka [82]

Answer:

66

Step-by-step explanation:

57 x 2= 114

180-114= 66

5 0
3 years ago
How might you use multiple reflections to describe a translation?
andre [41]

Answer:

from one language to another

Step-by-step explanation: or in math In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another.

4 0
3 years ago
What Ratio can you write that compares days with games two days without them right this ratio three ways to
Ira Lisetskai [31]

Answer:

As a fraction: \mathbf{\dfrac{363}{2}}

As a colon,  363:2

By using the word to; we have: 363 to 2

Step-by-step explanation:

A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.

A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.

We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.

The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.

Suppose there are 365 days in a year and it appears that two days in that year exist without a game.

i.e.

365 - 2(days without game) = 363 days with a game

Then:

As a fraction: \mathbf{\dfrac{363}{2}}

As a colon,  363:2

By using the word to; we have: 363 to 2

7 0
3 years ago
Read 2 more answers
What is a quartile of 35, 45, 50, 65,85
Georgia [21]

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

7 0
3 years ago
If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ yea
Natasha2012 [34]

Answer:

P(Atleast\ 1) = 0.9999992

Step-by-step explanation:

Given

p = 3\% --- rate of hard disk drives failure

n = 4 --- number of hard disk drives

<em>See comment for complete question</em>

Required

P(Atleast\ 1)

First, calculate the probability that the none of the 4 selected is working;

P(none) = p^4

P(none) = (3\%)^4

P(none) = (0.03)^4

Using the complement rule, the probability that at least 1 is working is:

P(Atleast\ 1) = 1 - P(none)

This gives:

P(Atleast\ 1) = 1 - 0.03^4

P(Atleast\ 1) = 0.9999992

5 0
3 years ago
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