What is the answer to x^210^x-x10^x=2(10^x) ?

The answer to x^210^x-x10^x=2(10^x) is x=-1,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^210^x-x10^x=2(10^x)

x^{2} 1 0^{x} - x 1 0^{x} = 2 (1 0^{x})

x = - 1, x = 2

Solution steps

x^{2} \cdot 1 0^{x} - x \cdot 1 0^{x} = 2 (1 0^{x})

Subtract

2 \cdot 1 0^{x}

from both sides

x^{2} \cdot 1 0^{x} - x \cdot 1 0^{x} - 2 \cdot 1 0^{x} = 2 \cdot 1 0^{x} - 2 \cdot 1 0^{x}

Simplify

x^{2} \cdot 1 0^{x} - x \cdot 1 0^{x} - 2 \cdot 1 0^{x} = 0

Factor

x^{2} \cdot 1 0^{x} - x \cdot 1 0^{x} - 2 \cdot 1 0^{x} : 1 0^{x} (x + 1) (x - 2)

1 0^{x} (x + 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

1 0^{x} = 0 or x + 1 = 0 or x - 2 = 0

Solve

1 0^{x} = 0 :

No Solution for

x \in R

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

x = - 1, x = 2

x, 3^{x} = 5

2^{x} = 8192

4^{2 n + 3} = 8^{n + 5}

e^{5 - 4 x} = 9

(\frac{1}{4})^{x} = 32

What is the answer to x^210^x-x10^x=2(10^x) ?
The answer to x^210^x-x10^x=2(10^x) is x=-1,x=2
Solve for x: x^210^x-x10^x=2(10^x)
The solution is x=-1,x=2