Logarithms

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8 Terms

1
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Definition of logarithm

If a^x = b, then log_a (b) = x; a > 0; a =/= 1

2
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Log of product

log_a (mn) = log_a(m) + log_a(n)

3
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Log of quotient

log_a (m/n) = log_a(m) - log_a(n)

4
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Log of a power

log_a(m^n) = n•log_a(m)

5
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Log of 1

log_a(1) = 0

6
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Log of the base itself

log_a(a) = 1

7
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Change of base formula

log_a(b) = [log_c(b)]/[log_c(a)]

8
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Relationship between exponents and logs

a^(log_a(b)) = b & log_a(a^x) = x