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Gekata [30.6K]
4 years ago
14

Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values

of x and y. Then evaluate the simplified expression. The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is .
Mathematics
1 answer:
Oduvanchick [21]4 years ago
3 0
<span><span><span><span>4x = 16</span><span>log 4x = log 16</span> </span><span>Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation?</span></span><span> <span><span>log 4x = log 16</span>x<span> log 4 = log 16</span></span>Use the power property of logarithms to simplify the logarithm on the left side of the equation.</span><span> <span>x<span> log 4 = log 16</span></span><span>Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself.</span></span><span>Answer<span>Use a calculator to evaluate the logarithms and the quotient.</span></span></span>
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In which type of triangle is the othocenter on the perimeter of the triangle?
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Answer:

A right triangle

Step-by-step explanation:

It's where the altitudes all intersect. In a right triangle, the legs of the right triangle are the altitudes-- especially evident when the right angle is at the base. The altitude from the hypotenuse to the right angle also passes through the right angle.

8 0
4 years ago
6. The area of a circle is 36pi cm squared. Find its circumference.​
Mumz [18]

Answer:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

3 0
3 years ago
Need the answer ASAP!! 20 points
aniked [119]

Answer:

I think C. is it

Step-by-step explanation:

8 0
3 years ago
One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4
Ganezh [65]

Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

52 - 4 = 48

So out of the 52 possible outcomes, 48 are desired. Set up the fraction and

simplify:

48/52

/4   /4

= 12/13

7 0
4 years ago
What is the midpoint of EF If E has the coordinates of (2,4) and F has coordinates of (6,8)
allsm [11]

Answer:

\boxed {\boxed {\sf (4,6) }}

Step-by-step explanation:

The midpoint formula is:

(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2} )

where (x₁, y₁) and (x₂, y₂) are the points are the endpoints.

We are given the points: (2,4) and (6,8). Therefore,

x_1=2\\y_1=4 \\x_2=6 \\y_2=8

Substitute the values into the formula.

(\frac{2+6}{2},\frac{4+8}{2})

Find the x coordinate first.

  • Add 2 and 6: 2+6=8
  • Divide by 2: 8/2=4

(4, \frac{4+8}{2})

Find the y-coordinate next.

  • Add 4 and 8: 4+8= 12
  • Divide by 2: 12/2=6

(4,6)

The midpoint of EF is (4,6)

4 0
3 years ago
Read 2 more answers
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