What is the answer to (5/2)^{3x+4}=(2/5)^{4x+10} ?

The answer to (5/2)^{3x+4}=(2/5)^{4x+10} is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(5/2)^{3x+4}=(2/5)^{4x+10}

(\frac{5}{2})^{3 x + 4} = (\frac{2}{5})^{4 x + 10}

x = - 2

Solution steps

(\frac{5}{2})^{3 x + 4} = (\frac{2}{5})^{4 x + 10}

Apply exponent rules

3 x + 4 = - (4 x + 10)

Solve

3 x + 4 = - (4 x + 10) : x = - 2

x = - 2

9^{x} = - 9

2^{x} = 40

c, p (b^{c}) = 0.7

2^{x + 3} + 2^{x + 1} = 80

- 5^{x + 1} + 8 \cdot 5^{x} = 15 \cdot 5^{- 3}

What is the answer to (5/2)^{3x+4}=(2/5)^{4x+10} ?
The answer to (5/2)^{3x+4}=(2/5)^{4x+10} is x=-2
Solve for x: (5/2)^{3x+4}=(2/5)^{4x+10}
The solution is x=-2