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alexandr1967 [171]
3 years ago
12

Find the equation for this graph. (1,10) (2,7) (3,4) (4,1) (5,-2)

Mathematics
1 answer:
vfiekz [6]3 years ago
6 0
You can get a app to help you with this
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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?
alex41 [277]

Answer:

<u><em>The satisfied table of the given function</em></u>y = log_{b} (x)<u><em></em></u>

<em>x                    1/8            1/4             1/2              1             2</em>

<em>y                    -3                 -2            -1               0               1</em>

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given logarithmic function y = log_{b} (x)   if b >1

Given first table

i)

put x = \frac{1}{8}     given b > 1 so we can choose b = 2

y = log_{2} (\frac{1}{8} )

y = log_{2} (2^{-3}  )

we will apply logarithmic formula

log x ⁿ = n log (x)

y = log_{2} (2^{-3}  ) = -3 log_{2} (2) = -3 (1) = -3

<em>y = -3</em>

<em>ii)</em>

<em>put x = </em>\frac{1}{4}<em>     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (\frac{1}{4} )<em></em>

<em></em>y = log_{2} (2^{-2}  )<em></em>

we will apply logarithmic formula

log x ⁿ = n log (x)

y = log_{2} (2^{-2}  ) = -2 log_{2} (2) = -2 (1) = -2

<em>y = -2</em>

<em>iii) </em>

<em>put x = </em>\frac{1}{2}<em>     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (\frac{1}{2} )<em></em>

y = log_{2} (2^{-1}  )

<em>we will apply logarithmic formula </em>

<em>log x ⁿ = n log (x)</em>

y = log_{2} (2^{-1}  ) = -1 log_{2} (2) = - (1) = -1

<em>y = -1</em>

<em>iv) </em>

<em>put x = 1     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (1 )<em> = 0</em>

<em>y = 0</em>

<em>v) </em>

<em>put x = </em>2<em>     given b > 1 so we can choose b = 2</em>

y = log_{2} (2 )

<em>y = 1</em>

<em></em>

<u><em>Final answer:-</em></u>

<u><em>The satisfied table of the given function</em></u>

<em>x                    1/8            1/4             1/2              1             2</em>

<em>y                    -3                 -2            -1               0               1</em>

<em></em>

8 0
3 years ago
Read 2 more answers
Translate this phrase into an algebraic expression.
Andreas93 [3]

Answer:

4m-8

Step-by-step explanation:

5 0
3 years ago
19√$1143.8<br>can anyone solve this
IrinaK [193]
Well 19\sqrt{ $1143.8} =  19\sqrt{1143.8}

Simplified would be: 642.58213482

642.58213482 = 642.58 = $642.58

Answer: <span>642.58

Hope this helps!

</span>
5 0
3 years ago
there are 20 guests at a party. the host has 8 gallons of punch. he estimates that each guest will drink 2 cups of punch. if he
Rina8888 [55]

Answer: He will have 88 cups of punch left over

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Pls help easy points
damaskus [11]
Are you just looking for the green space or more
7 0
3 years ago
Read 2 more answers
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