Lesson 42 - Logarithms ( Introduction).notebook€¦ · Lesson 42 Logarithms (...

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Lesson 42 Logarithms ( Introduction).notebook 1 February 23, 2015 Exponent Exponent Base Base Introduction to Logarithms EXAMPLE 1 SOLUTION Write the equation in its equivalent exponential form.

Transcript of Lesson 42 - Logarithms ( Introduction).notebook€¦ · Lesson 42 Logarithms (...

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Exponent 

Exponent 

Base

Base

 Introduction 

         to 

 Logarithms 

EXAMPLE 1

SOLUTION

Write the equation in its equivalent exponential form. 

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Logarithmic Form :

EXAMPLE 2Write the equation in its equivalent exponential form. 

SOLUTION

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Logarithmic Form :

EXAMPLE 3

Write the equation in its equivalent logarithmic form. 

SOLUTION

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Logarithmic Form :

EXAMPLE 4

Write the equation in its equivalent logarithmic form. 

SOLUTION

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Logarithmic Form :

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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

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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

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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

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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

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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

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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.

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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.

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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.

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Rewrite the problem so that there

 are NO terms in the denominator.

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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.

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Rewrite the radical expressionas a rational exponent.

Rewrite the problem so that there

 are NO terms in the denominator.