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Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Exponent
Exponent
Base
Base
Introduction
to
Logarithms
EXAMPLE 1
SOLUTION
Write the equation in its equivalent exponential form.
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Logarithmic Form :
EXAMPLE 2Write the equation in its equivalent exponential form.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Logarithmic Form :
EXAMPLE 3
Write the equation in its equivalent logarithmic form.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Logarithmic Form :
EXAMPLE 4
Write the equation in its equivalent logarithmic form.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Logarithmic Form :
Lesson 42 Logarithms ( Introduction).notebook
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EXAMPLE 5
Write an equation to express the logarithm 7 raised to what exponent is equal to 49.
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 6
Write an equation to express the logarithm 3 raised to what exponent is equal to 81.
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 7
Write an equation to express the logarithm 16 raised to what exponent is equal to 4.
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 8
Write an equation to express the logarithm 32 raised to what exponent is equal to 2.
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 9
Write an equation to express the logarithm 1024 raised to what exponent is equal to 64.
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 10
Rewrite the problem so thatall terms have the same BASE.
SOLUTION
8 raised to what exponent is equal to the cube root of 64.
Rewrite the radical expressionas a rational exponent.
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 11
Rewrite the problem so thatall terms have the same BASE.
SOLUTION16 raised to what exponent is equal to the cube root of 32.
Rewrite the radical expressionas a rational exponent.
Lesson 42 Logarithms ( Introduction).notebook
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EXAMPLE 12
Rewrite the problem so thatall terms have the same BASE.
SOLUTION8 raised to what exponent is equal to the 1 over 32.
Lesson 42 Logarithms ( Introduction).notebook
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Rewrite the problem so that there
are NO terms in the denominator.
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
EXAMPLE 13
Rewrite the problem so thatall terms have the same BASE.
SOLUTION25 raised to what exponent is
equal to the 1 over the square root of 5.
Lesson 42 Logarithms ( Introduction).notebook
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February 23, 2015
Rewrite the radical expressionas a rational exponent.
Rewrite the problem so that there
are NO terms in the denominator.