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Chapter 5: Q. 10 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.

16=42

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is2=log416

Step by step solution

01

Step 1. Given information

An exponential equation is given as16=42

02

Step 2. Formula

The exponential statement x=aycan be changed into a logarithmic function as y=logax

03

Step 3. Simplification

The exponential statement is 16=42.

Compare statement with x=ay.

role="math" localid="1646307496534" x=16,a=4, andy=2

So, the corresponding logarithmic statement is

role="math" localid="1646307466964" 2=log416

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Most popular questions from this chapter

The domain of a one-to-one functiong is[0,15] , and its range is(0,8). State the domain and the range ofg-1 .

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solve each equation

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