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Chapter 5: Q 102. (page 309)

Show thatlogax+x-1+logax-x-1=0.

Short Answer

Expert verified

The result is shown in the explanation.

Step by step solution

01

Step 1. Given information.

Consider the given information.

logax+x-1+logax-x-1=0

02

Step 2. Explanation.

Consider the left side of the given equation.

logax+x-1+logax-x-1

03

Step 3. Calculation.

Apply the logarithm rule to combine the left side.

logax+x-1+logax-x-1=logax+x-1x-x-1=logax-x-1=logax-x+1=loga1=0

The given statement is true as the left side is equal to the right side.

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Most popular questions from this chapter

Solve the equation22x-1=4

and verify your results using a graphing utility.

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

f(x)=-3x-4x-2

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

9-x+15=27x

Use the graph of y=f(x)given in the Problem 43to evaluate the following:

(a) f(-1)

(b) f(1)

(c) f-1(1)

(d) f-1(2)

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

f(x)=2x-3x+4
See all solutions

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