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sebastianapolo5
24.09.2019 •
Mathematics
Simplify 7 log3 k + 6 log3 m − 9 log3 n.
4 log3 km over n
4 log3 (k + m − n)
log3 k to the seventh power m to the sixth power over n to the ninth power
log3 42 km over 9 n
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Ответ:
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)
Ответ:
-4x = -3
3 = 4x