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GATE Advanced AlgebraName CHAPTER 5CPeriod Date LOGARITHMIC FUNCTIONSChange of Base Formula and Solving Equations Using Logarithms IF NECESSARY, ROUND ALL ANSWERS TO THE NEAREST HUNDREDTH 1. Rewrite

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How to fill out logarithm change of base

01

To fill out a logarithm change of base, follow these steps:

02

Determine the original base of the logarithm, let's call it 'a'.

03

Determine the desired base of the logarithm, let's call it 'b'.

04

Set up the change of base formula: logₐ(x) = logₚ(x) / logₚ(a)

05

Replace 'logₚ(x)' with the desired logarithm base ('b') and 'logₚ(a)' with the original logarithm base ('a').

06

Solve the equation using the given values to find the logarithm in the desired base.

Who needs logarithm change of base?

01

Logarithm change of base is useful for anyone working with logarithms who wishes to convert a logarithm from one base to another.

02

It is particularly helpful in mathematical calculations, scientific research, engineering, and computer science.

03

By changing the base of the logarithm, it becomes easier to work with and compare different logarithmic values.

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What is logarithm change of base?

The logarithm change of base formula allows you to convert the logarithm of one base to another base. It is expressed as log_b(a) = log_k(a) / log_k(b), where b and k are the bases.

Who is required to file logarithm change of base?

Typically, individuals or entities that need to convert logarithmic calculations from one base to another for mathematical, scientific, or computational purposes may utilize the logarithm change of base.

How to fill out logarithm change of base?

To fill out the logarithm change of base, identify the number and the bases involved, then apply the change of base formula to express the logarithm in the desired base.

What is the purpose of logarithm change of base?

The purpose of logarithm change of base is to simplify logarithmic calculations, especially when using different bases for computations in mathematics or computer science.

What information must be reported on logarithm change of base?

When reporting logarithm change of base, you need to include the original number, the original base, the new base, and the computed value after applying the change of base formula.

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