Pre-Calc
Thursday, November 13, 2008
Section 5.6: Laws of Logarithms
Laws of Logarithms:
logb(M • N) = logbM + logbN
logb(M ÷ N) = logbM - logbN
logbM = logbN
if and only if
logbMk = k•logbM
M=N
for any real number k
Pre-Calc
Thursday, November 13, 2008
Section 5.6: Laws of Logarithms
Examples: Write each expression as a rational
number or as a single logarithm.
log1045 - 2log103
log52 + log53
ln 4 + 2 ln 3
½ ln a - ½ ln b
logbM + logbN - 3 logbP
Pre-Calc
Thursday, November 13, 2008
Section 5.6: Laws of Logarithms
Examples: Write each expression in terms of
log M and log N
log (M ÷ N2)
Pre-Calc
Thursday, November 13, 2008