+23254 A multiplier in front of a log "goes inside" the log as an exponent:
Example: 2ln(z) = ln(z²)
Example: 3ln(x) = ln(x³)
You subtract ln when your initial problem was division; you add when your initial problem was multiplication:
l(A) = ln(y) - ln(z) + 2ln(z) - 3ln(x)
= ln(y) - ln(z) + ln(z²) - ln(x³)
= ln(y/z) + ln(z²) - ln(x³)
= ln( y/z · z² ) - ln(x³)
= ln( y · z ) - ln(x³)
= ln( y · z / x³ )
+23254 A multiplier in front of a log "goes inside" the log as an exponent:
Example: 2ln(z) = ln(z²)
Example: 3ln(x) = ln(x³)
You subtract ln when your initial problem was division; you add when your initial problem was multiplication:
l(A) = ln(y) - ln(z) + 2ln(z) - 3ln(x)
= ln(y) - ln(z) + ln(z²) - ln(x³)
= ln(y/z) + ln(z²) - ln(x³)
= ln( y/z · z² ) - ln(x³)
= ln( y · z ) - ln(x³)
= ln( y · z / x³ )
