Exponential & Logarithmic Equations Worksheet With Answers - Math 11009, Section 5.3 Page 2
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8MATH 11009: EXPONENTIAL & LOGARITHMIC
2
EQUATIONS SECTION 5.3
Laws of Logarithms: Let b > 0, b = 1, n a real number, and M and N be positive
real numbers
log
(M N ) = log
M + log
N
b
b
b
M
log
= log
M
log
N
b
b
b
N
n
log
M
= n log
M
b
b
Example 2. Rewrite each expression as the sum, difference, or product of logarithms, and
simplify where possible.
x + 2
(a) log
4x
2
8
x
(x
5)
(b) log
3
4
(3x + 2)
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