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miss Akunina [59]
3 years ago
5

Help me with this problem

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = -59/66

Step-by-step explanation:

Solve for x over the real numbers:

log(7) - log(x + 1) = log(66)

Subtract log(7) from both sides:

-log(x + 1) = log(66) - log(7)

Multiply both sides by -1:

log(x + 1) = log(7) - log(66)

log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):

log(x + 1) = log(7/66)

Cancel logarithms by taking exp of both sides:

x + 1 = 7/66

Subtract 1 from both sides:

Answer:  x = -59/66

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Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

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The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
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Artemon [7]

Answer:

Step-by-step explanation:

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