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Chapter 5: Q. 72 (page 284)

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

9-x+15=27x

Short Answer

Expert verified

The value of x for which the above equation is valid is :

6

Step by step solution

01

Step 1. Given equation

9-x+15=27x

02

Step 2. Solving exponentially

9-x+15=27x鈬�32(-x+15)=33(x)鈬�3(-2x+30)=33x

By exponential property

av=au鈬�v=u

Using this :

03

Step 3. Verifying Graphically

Sketching the graphs of

9-x+15&27x

Where they will intersect will be the solution .

they intersect at point 6

Hence verified

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