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yarga
[219]
3 years ago
10
Which of the following shows the extraneous solution to the logarithmic equation below???
Mathematics
Answer
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2
answers:
avanturin
[10]
3 years 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.
Send
Romashka-Z-Leto
[24]
3 years ago
5
0
Answer:
B
Step-by-step explanation:
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