# The value of x from the equation 16 x 4 = 625 by algebraic method and graphical method.

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 1.9, Problem 39E
To determine

## To calculate: The value of x from the equation   16x4=625 by algebraic method and graphical method.

Expert Solution

The value of x is ±2.5 and the graph of the equation 16x4=625 provided below,

### Explanation of Solution

Given information:

The equation 16x4=625 .

Calculation:

It is provided that the equation 16x4=625 .

Algebraic method;

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

From the equation 16x4=625 .

Divided by 16 on the both side of the equation,

16x416=62516

Further solve for the value of x ,

x4=62516x=6251614x=±52

Therefore, the value of x=±2.5 .

Graphical method;

Let put y1=16x4 and y2=625

The graph of the equation y1=16x4 provided below,

The graph of equation y2=625 is provided below,

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

The solution is the x coordinate of the intersection point of the two graphs. The intersection point on the x coordinate is ±2.5 .

Thus, the value of x is ±2.5 .

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