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Chapter 5: Q. 62 (page 315)

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.

log2(x-1)-log6(x+2)=2

Short Answer

Expert verified

The solution of the given equation is 12.15.

Step by step solution

01

Step 1. Given information.

The given equation is:

log2(x-1)-log6(x+2)=2

02

Step 2. Determine the solution by the graphing utility.

Plot the graphs of y1=log2(x-1)-log6(x+2) andy2=2 on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at x鈮�12.148. After rounding the value to two decimal places x鈮�12.15.

03

Step 3. Conclusion.

The solution of the given equation is 12.15.

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Most popular questions from this chapter

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

4x2x2=162

Solve the equation(14)x=164

and verify your results using a graphing utility.

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=ex-1

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

y=2x+1

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

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