Change of Base Formula

Definition of Change of Base Formula

• Change of base formula states that:

For all positive numbers x, y, and z

where and ,

.

Examples of Change of Base Formula

Solved Example on Change of Base Formula

Use the change of base formula to evaluate

.

Choices:

A. 4.56

B. 4.86

C. 0.21

D. 5.16

Correct Answer: B        

Solution:

Step 1:

Related Terms for Change of Base Formula

• Logarithms
• Base

 

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