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yarga [219]
1 year ago
10

Which of the following shows the extraneous solution to the logarithmic equation below???

Mathematics
2 answers:
avanturin [10]1 year ago
7 0
Short Answer x = - 6
Remark
You gave the second best answer. 

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2       Expand the equation
x^2 + 2x + 1 = 25   Subtract 25 from both sides.
x^2 + 2x - 24 = 0    Factor
(x + 6)(x - 4) = 0     Find the zeros.

x + 6 = 0
x = - 6  <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4    This is a legitimate result to the original equation.
Romashka-Z-Leto [24]1 year ago
5 0

Answer:

B

Step-by-step explanation:

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Find all of the polar coordinates of point P if p=(1,-pi/6)
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Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

6 0
1 year ago
Read 2 more answers
The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many
Tju [1.3M]
Let the no. Of boys=x and that of girls=y.
The total no. Of students = x+y .
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Also we know that x/y = 2/3 therefore
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By method of substitution we get
X=(x+3x/2+15)/3
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Now. Y= 3x/2=-270/26
Therefore total
no. Of students= -270/26+(-90/13)
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According to me this is an imaginary question i mean how can their be a negative person
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goldenfox [79]

Answer:

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Step-by-step explanation:

Given that the map reported that the scale is 1 inch to 20 miles.

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