expanding.py

Created by thabo

Created on June 06, 2024

590 Bytes

"""

Log3(xy/z)
Log3(x) + Log3(y) - Log3(z)
(notice the minus)

Log3(x/yz)
Log3(x) - Log3(y) - Log3(z)
Either work
Log3(x) - (Log3(y) + Log3(z))

log(15x^7)
log(15) + log(x^7)
log(15) + 7log(x)

ln(3a^4/5b^6)
ln(3a^4) - ln(5b^6)
ln(3)+ ln(a^4) - ln(5) - ln(b^6)
ln(3)+ 4ln(a) - ln(5) - 6ln(b)

log9 sqr(q^4r/p^6)
log9 (q^4r/p^6)^1/2
1/2log9(q^4r/p^6)
1/2log9(q^4) + 1/2log9(r) - 1/2(9^6)
(1/2 x 4/1 = 2) (1/2 * 6/1 = 3)
2log9(q) + 1/2log9(r) - 3log9(p)

ln(3sqrt(a^6b/c^15))
ln(a^6b/c^15)^1/3
1/3ln(a^6b/c^15)
1/3ln(a^6) + 1/3ln(b) - 1/3ln(c^15)
2ln(a) +  1/3ln(b) - 5ln(c)

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