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Ahat [919]
3 years ago
9

Algebra 2 Logarithms Problem!!! Pls explain how you did the work for all parts-- i will give brainliest!!!!!

Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

<u>Given</u>

  • log₃ 20 = x and log₃ 2 = y

<u>Properties used</u>

  • <em>log ab = log a  + log b</em>
  • <em>log a/b = log a - log b</em>
  • <em>log aᵇ = b log a</em>

a)

  • log₃ 400 = log₃ (20)² = 2 log₃ 20 = 2x

b)

  • log₃ 80 = log₃ (20*4) = log₃ 20 + log₃ 4 = log₃ 20 + 2log₃ 2 = x + 2y

c)

  • log₃ 40 = log₃ (20*2) = log₃ 20 + log₃ 2 = x + y

d)

  • log₃ 10 = log₃ (20/2) = log₃ 20 - log₃ 2 = x - y
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