What is 10*6^{sqrt(x)}<= 2*6^{-sqrt(x)}-8 ?

The solution to 10*6^{sqrt(x)}<= 2*6^{-sqrt(x)}-8 is No Solution

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

106^{sqrt(x)}<= 26^{-sqrt(x)}-8

10 \cdot 6^{x} \leq 2 \cdot 6^{- x} - 8

No Solution

Solution steps

10 \cdot 6^{x} \leq 2 \cdot 6^{- x} - 8

Apply exponent rules

10 (6^{x})^{2} \leq 2 - 8 \cdot 6^{x}

Let

u = 6^{x}

10 u^{2} \leq 2 - 8 u

10 u^{2} \leq 2 - 8 u : - 1 \leq u \leq \frac{1}{5}

- 1 \leq u \leq \frac{1}{5}

Substitute back

u = 6^{x}

- 1 \leq 6^{x} \leq \frac{1}{5}

a \leq u \leq b

then

a \leq u and u \leq b

- 1 \leq 6^{x} and 6^{x} \leq \frac{1}{5}

- 1 \leq 6^{x} :

True for all

x

6^{x} \leq \frac{1}{5} :

No Solution

Combine the intervals

No Solution and No Solution

Merge Overlapping Intervals

No Solution for x \in R

No Solution

- 4 (- 2 x - 2) + x - 2 = - 48

\frac{\frac{2}{k + 2} - 1}{\frac{2}{k + 2} + 1}

i^{23}

x^{2} + x = 90

3 (u + 3) + u = 2 (u - 1) + 3

What is 10*6^{sqrt(x)}<= 2*6^{-sqrt(x)}-8 ?
The solution to 10*6^{sqrt(x)}<= 2*6^{-sqrt(x)}-8 is No Solution