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

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 log ₃ (m) = log₃ (m⁶)

9 log ₃ (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)