The document discusses three laws of logarithms: (1) the logarithm of a product is equal to the sum of the logarithms, (2) the logarithm of a quotient is equal to the difference of the logarithms, and (3) the logarithm of a power is equal to the exponent multiplied by the logarithm. It then provides examples of using these laws to evaluate logarithmic expressions and simplify or expand logarithmic expressions.

1. 8.5 laws of logs.notebook February 05, 2013
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2. 8.5 laws of logs.notebook February 05, 2013
Laws of Logarithms.
log MN = log M + log N
b b b
log = logM ­ log N
M b b
N
log M = k log M
b
k
b
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3. 8.5 laws of logs.notebook February 05, 2013
Use log72 ≈ 0.356 and log75 ≈ 0.827 to find the value
of the expression to the nearest thousandth.
log 2
75
log 10
7
log725
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4. 8.5 laws of logs.notebook February 05, 2013
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5. 8.5 laws of logs.notebook February 05, 2013
Expand the expression.
2 log7 3x
log45x
y
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6. 8.5 laws of logs.notebook February 05, 2013
Condense the expression.
log 16 ­ 2 log 2 3 log 5 + log 4
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