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Chapter 5: Q 106. (page 309)

If fx=logax, show thatfAB=fA+fB.

Short Answer

Expert verified

The result is shown in the explanation.

Step by step solution

01

Step 1. Given information.

Consider the given function.

fx=logax

02

Step 2. Calculation. 

Substitute AB for x in the given function.

fAB=logaAB=logaA+logaB=fA+fB

  • Since the left side is equal to the right side.
  • The given equation has been proved.

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