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Chapter 5: Q 24. (page 297)

Change the given logarithmic statement to an equivalent statement involving an exponent.

lnx=4

Short Answer

Expert verified

The equivalent exponential statement of the given logarithmic statement ise4=x.

Step by step solution

01

Step 1. Given information

A logarithmic statement is given aslnx=4.

02

Step 2. Formula Used

The logarithmic function y=lnx can be changed into an exponential statement as x=ey.

03

Step 3. Conversion

The logarithmic statement is lnx=4.

Compare statement with lnx=y.

x=x, andy=4

So, the corresponding exponential statement is

e4=x

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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.

Solve:

x2+3x=4x

the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2-42x2x>0

As the base a of an exponential function fx=ax, where a>1increases, what happens to the behavior of its graph forx>o?What happens to the behavior of its graph for x<0?

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

A function y=f(x)is increasing on the interval (0,5).What conclusions can you draw about the graph of y=f-1(x)?
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