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inysia [295]
4 years ago
15

What values must x have so that log (x) is greater than 2? justify your answer

Mathematics
1 answer:
kotegsom [21]4 years ago
3 0

Answer:

The value of x must be greater than 100.

Step-by-step explanation:

We need to find the value x for which the value of log(x) is greater than than 2.

log(x)>2

According to the property of logarithm, if a is a real number.

log(x)=a \Rightarrow x=10^a

Using the above property of logarithm, the given inequality can be rewritten as

x>10^2

x>100

We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.

Therefore, the value of x must be greater than 100.

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Identify two ordered pairs below that would form a direct variation:
Aleks [24]

Answer:

(12,3) and (20,5)

Step-by-step explanation:

When using the direct variation equation we can check these by division and we get .25 for the answer of both.

3/12 and 5/20

3 0
3 years ago
Find the equation of a line in point slope form that crosses through points (3,-2) and (5,2)
madreJ [45]

-2-2=0.5(3-5)

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3 years ago
3.
ollegr [7]

Answer:

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4 0
3 years ago
Read 2 more answers
Simplify (x^3)(x^-2)
Charra [1.4K]
Hey there!

When multiplying variables with the same degree, be sure to add the two degrees being multiplied.

For example;

x * x; both of these terms have the degree of "1" as they are "x^1". Since we are multiplying them, we need to add their degrees.
x^1 * x^1 = x^2

Now that we've broken down what we are doing, let's apply this new knowledge to your problem.

(x^3)(x^-2); Remember to just add the degrees; -2 + 3 = 1
This means our product is x^1, or just x.

I hope this helps!
8 0
4 years ago
You are purchasing an exercise machine for a physical therapy office. The machine has a 20 inch vertical space where you add wei
Zolol [24]
The maximum weight that could be held would be 32 pounds. or six five pound weights taking up 18 inches of space, and weighing 30 Lbs, and two one pound weights adding another two inches. You could achieve a greater weight if you had a weight of one-half inch, in which case you could take six 5 lb weights and 1 two  pound weight, then you could add a half inch weight bringing the weight to over 32 inches. Since we don't have a half inch weight we can't raise the weight above 32lbs.
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