# The value of x from the equation 4 x + 2 − 6 2 x = 5 2 x + 4 by algebraic method and graphical method.

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 1.9, Problem 34E
To determine

Expert Solution

## Answer to Problem 34E

The value of x is 23 and Graph of the equation is provided below,

### Explanation of Solution

Given information:

The equation 4x+262x=52x+4 .

Calculation:

It is provided that the equation 4x+262x=52x+4 .

Algebraic method;

The method in which isolate x on one side of the equation and solve the value of x .

From the equation 4x+262x=52x+4 ,

4x+262x=52x+44.2x6(x+2)2x(x+2)=52(x+2)8x6x22x(x+2)=52(x+2)

Solve the value of x from the equation,

8x6x22x(x+2)=52(x+2)2x22x(x+2)=52(x+2)x=23

Therefore, the value of x=23 .

Graphical method;

Let put y1=4x+262x and y2=52x+4

The graph of the equation y1=4x+262x provided below,

The graph of equation y2=52x+4 is provided below,

The graph of both equations in same figure is provided below,

The solution is the x coordinate of the intersection point (23,5)  of the two graphs. So, the intersection point on the x coordinate is 23 .

Thus, the value of x is 23 .

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