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Chapter 5: Q. 9 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.
9=32

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is2=log39.

Step by step solution

01

Step 1. Given information

An exponential equation is given as9=32

02

Step 2. Formula

The exponential statement x=ay can be changed into a logarithmic function asy=logax

03

Step 3. Simplification

The exponential statement is9=32.

Compare statement with x=ay.

x=9,a=3, andy=2

So, the corresponding logarithmic statement is

2=log39

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Most popular questions from this chapter

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

To graph (x-2)3, shift the graph of y=x3to the left 2 units.

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=-2xx-1

If f(7)=3 and f is one-to-one, what isf-1(13)?

solve each equation. Verify your results using a graphing utility.

4x2x2=162

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=3x+42x-3
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