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Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)
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Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

asked
User Namezero
by
7.4k points

1 Answer

3 votes

Answer:

log7(x-2)

Explanation:

Use of property: log(ab) = log(a) + log(b)

  • log7(x²+5x−14)−log7(x+7) =
  • log7(x+7)(x-2) - log7(x+7) =
  • log7(x+7) + log7(x-2) - log7(x+7) =
  • log7(x-2)

answered
User Xneg
by
8.4k points
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