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 Logarithm properties logaithmic form exponential Form Using Properties Chang Base 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Final Question

Product Property
Product Property
logb(MN) = log b M + log b N
Quotient Property
Quotient Property
logb(M/N) = logb M - log b N
Power Property
Power Property
logb M^k = k log b M
Logbb=
Logbb=
1
b^logbx=
b^logbx=
x
1600 = 10^x
1600 = 10^x
log 1600 = x
100= 10^2
100= 10^2
log 100 = x
8 = 2^3
8 = 2^3
log2 8 = 3
27 = 3^3
27 = 3^3
log 3 27 = 3
(1/9) = 3^-2
(1/9) = 3^-2
log3(1/9) = -2
log5 25 = 2
log5 25 = 2
25 = 5^2
log 5 625= 4
log 5 625= 4
625 = 5^4
log 2 4 = 2
log 2 4 = 2
4 = 2^2
log 8 64 = 2
log 8 64 = 2
64 =8^2
log 4 (1/16) = -2
log 4 (1/16) = -2
1/16 = 4^-2
log a (15)
log a (15)
log a 5 + log a 3
Log a (10/3)
Log a (10/3)
Log a10 + log a 3
Log a 5^3
Log a 5^3
3 log a 5
Log a 2 + log a 3 + log a 5
Log a 2 + log a 3 + log a 5
Log a 30
Log a 55 - log a 3
Log a 55 - log a 3
Log a (55/3)
Change base formula
Change base formula
log M N = log a M / Log a N
Log 2 8
Log 2 8
log 8 / log 2 = 3
log 5 66
log 5 66
log 66 / log 5 = 2.603
ln .80882
ln .80882
-.212
log 876 567
log 876 567
log 567 / log 876 = .936
1600 = 10^x
1600 = 10^x
3.204

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