What is 0.01^{2x+1}>= 0.1^{x-4} ?

The solution to 0.01^{2x+1}>= 0.1^{x-4} is x<=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.01^{2x+1}>= 0.1^{x-4}

0.0 1^{2 x + 1} \geq 0. 1^{x - 4}

x \leq - 2

Interval Notation

(- \infty, - 2]

Solution steps

0.0 1^{2 x + 1} \geq 0. 1^{x - 4}

Convert decimals to fractions

(\frac{1}{100})^{2 x + 1} \geq (\frac{1}{10})^{x - 4}

Apply exponent rules

2 (2 x + 1) \leq x - 4

2 (2 x + 1) \leq x - 4 : x \leq - 2

x \leq - 2

(3 - i)^{2}

(x - 7) (x (x - 1) - 30)

112 \geq b + 128

\frac{20 !}{4 ! ( 20 - 4 ) !}

What is 0.01^{2x+1}>= 0.1^{x-4} ?
The solution to 0.01^{2x+1}>= 0.1^{x-4} is x<=-2