Question

If 4^x+4^(x+1)=80 value of x^x

Answer 1

Answer:

Step-by-step explanation:

Concept:

The two most well-known groups of equations in algebra are the linear equations and the polynomial equations. $P(x) = 0$ can be used to represent polynomial equations with a single variable. P is a polynomial, and $ax+ by +c= 0$ is the standard form for linear equations. Here, the parameters a, b and c. To solve these equations, we can use geometric or computational techniques from linear algebra or mathematical analysis.

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Given:

The equation  $4^x+4^x^+^1=80$

Find:

We have to find the value of  $x^x$

Solution:

Given that

The equation  $4^x+4^x^+^1=80$

$4^x+4^x^+^1=80$

$4^x+4^x\times4=80$

We assume that  $4^x=p$

$p+4p=80$

$5p=80$

$p=16$

$4^x=16$

$4^x=4^2$

$x=2$

The value of $x^x=2^2$

$x^x=4$

Hence the value of $x^x=4.$

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