BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 66RE
To determine

To find the real solutions of equation 82x=14+x .

Expert Solution

Answer to Problem 66RE

The solution is x=2 .

Explanation of Solution

Given information:

  82x=14+x

Formula used:

We will solve equation by changing it to an equivalent equation.

Calculations:

  =82x=14+x

  =82xx=14+xx (Subtracting x from both the sides)

  =83x=14

  =83x14=1414 (Subtracting 14 from both the sides)

  =8143x=0 (Subtracting like terms)

  =63x=0

  =63x+6=0+6 (Adding 6 on both the sides)

  =3x=6

  =3x3=63 (Dividing 3 on both the sides)

  =x=2

  =(1)(x)=(1)(2) (Multiply by (-1) on both the sides)

The solution of the equation is x=2 .

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