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Citrus2011 [14]
3 years ago
6

Simplify into a single log with a single argument:

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

2 \log_8 8

Step-by-step explanation:

3 \log_8 8 - 2 \log_8 4 + \log_8 2 =

= 3 \log_8 8 - 2 \log_8 4 + \log_8 2

= 3 \log_8 8 - 2 \log_8 8^\frac{2}{3} + \log_8 8^\frac{1}{3}

= 3 \log_8 8 - 2 \times \dfrac{2}{3} \log_8 8 + \dfrac{1}{3} \log_8 8

= 3 \log_8 8 - \dfrac{4}{3} \log_8 8 + \dfrac{1}{3} \log_8 8

= 2 \log_8 8

Which equals simply 2 since log base 8 of 8 is 1.

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Helppppppo points to give
viva [34]

a) The point (2, -7/5) is not a point on the graph?

b)  The value of f(x) when x is 1 is -1/3 and the point on the graph is (1, -1/3)

c) The value of x for f(x) = 2 is 22 and the point on the graph is (22, 2)

d) The domain of x is all real values of x ≠ 10

e) The x intercept is -2

f) The y intercept is -1/5

<h3>What is a Function?</h3>

Function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output and not one input for two outputs.

Analysis:

a) To test if the point (2, -7/5) is a point on the graph, we put in x = 2 into the function,

f(2) = 2+2/2-10 = 4/-8  = -1/2 ≠ -7/5. Therefore (2, -7/5) is not a point on the graph.

b) if x = 1, f(1) = 1 +2 / 1-10 =  3/-9 = - 1/3

   The point on the graph is (1, -1/3)

c) if f(x) = 2, then 2 = x+2/x-10

     2(x-10) = x+2

     2x -20 = x+2

      2x-x = 2+20

      x = 22, the point on the graph is (22, 2)

d) The domain of the function is such that the denominator would not be zero.

so if x - 10 ≠ 0

Then the values of x ≠ 10 are the domain of the function.

e) The x intercept of the graph is the point at which f(x) = 0

  0 = x+2/x-10

   x+2 = 0

   x = -2. The x-intercept is -2.

f) the y-intercept is such that x = 0

   0+2/0-10 = 2/-10 = -1/5

Learn more about Function: brainly.com/question/25638609

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8 0
2 years ago
Which of the following equations have exactly one solution?
Arturiano [62]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
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Find the quotient. WHOEVER ANSWER WILL BE MARKED AS BRAINLIEST
melisa1 [442]

Answer:

The answer is 8/1

Step-by-step explanation:

4/5÷1/10

4/5×10/1

=8/1

6 0
3 years ago
Work out 69% of 102.16m<br> Give your answer rounded to two Decimal Place
Mnenie [13.5K]

Answer:

70.49

Step-by-step explanation:

Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.

69% of 102.16

= (69 / 100) * 102.16

= 0.69 * 102.16

= 70.4914

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3 years ago
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Solve for x.<br><br> 3?8(2x+16)−2=13<br><br> Enter your answer in the box.<br><br> x =
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