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Alik [6]
3 years ago
5

Complete the following diamond problems.

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer : Top cell = 12 ; Bottom cell = 7

Step-by-step explanation:

The rules of a diamond problem states that, one should add the two numbers (3 and 4) to get the value in the bottom cell and multiply the two numbers (3 and 4) again to get the value in the top cell.

Therefore; Top cell, 3×4= 12 Bottom cell, 3+4 = 7.

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Simplify 7 log3 k + 6 log3 m − 9 log3 n
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 The answer is log3 k to the seventh power m to the sixth power over n to the ninth power

a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)

7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)

logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)

logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) =  log₃ (k⁷ * m⁶ / n⁹)


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