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Chapter 9: Q. 414 (page 1108)

In the following exercises, solve:

28r+1-8=2

Short Answer

Expert verified

The solution is,r=3.

Step by step solution

01

Step 1. Given Information.

The expression is,

28r+1-8=2.

02

Step 2. Finding the solution.

28r+1-8=2

Adding 8on both sides,

鈬�28r+1=2+8鈬�28r+1=10

Dividing 2on both sides,

鈬�28r+12=102鈬�8r+1=5

Squaring both sides,

鈬�(8r+1)2=52鈬�8r+1=25

Subtracting 1on both sides,

鈬�8r=25-1鈬�8r=24

Dividing 8on both sides,

鈬�8r8=248鈬�r=3

03

Step 3. Checking the solution.

28r+1-8

Inputting r=3,

=28脳3+1-8=224+1-8=225-8=2脳5-8=10-8=2

The solution is true.

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