Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 :
- 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 :
- 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
The change of base formula allows you to write a logarithm in terms of logarithms with another base. It follows this pattern,

where a≠1 and b≠1
Assigning the base to be 7,

I hope I was able to answer your question. Have a good day.
The answer is 16.55
Divide $99.30 by 6 and you get your answer!
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Answer:
424 grams for the small one and 510 grams for the big one.
Step-by-step explanation:
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