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irga5000 [103]
3 years ago
8

Evaluate ㏒ b 1, b > 0.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

The solution is 1.

Step-by-step explanation:

Logarithm:

Suppose we have a logarithmic equation in the following format:

\log_{a} b = c

It means that:

a_c = b

In this question:

\log_{b} 1 = x

Which means that:

b^x = 1

Every number, elevated to 0, is 1. So

b^0 = 1

Which means that the solution is x = 1

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vfiekz [6]
Starting time=1:45
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answer=5:15
8 0
3 years ago
Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
3 years ago
Look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that h
KATRIN_1 [288]
The answer to this is 0
8 0
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What is 56% as a fraction<br> plz show me in steps:)
kiruha [24]

Answer:

14/25

Step-by-step explanation:

All percentages can be represented by PERCENTAGE/100

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Read 2 more answers
Is (3,4) a solution of y&lt;4x-2
butalik [34]

Answer:

yes

Step-by-step explanation:

4x3-2=10>4

so it is true

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3 years ago
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