What is the answer to 25^{x/2}=125^{x+3} ?

The answer to 25^{x/2}=125^{x+3} is x=-9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25^{x/2}=125^{x+3}

2 5^{\frac{x}{2}} = 12 5^{x + 3}

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

2 5^{\frac{x}{2}} = 12 5^{x + 3}

Apply exponent rules

x = 3 (x + 3)

Solve

x = 3 (x + 3) : x = - \frac{9}{2}

x = - \frac{9}{2}

3^{5 x} = 85

6 - 3 \cdot 5^{x} = 2

y, b x^{y} = x^{a - y}

343 = 7^{x}

7^{x - 3} + 7^{x - 2} + 7^{x - 1} = 57

What is the answer to 25^{x/2}=125^{x+3} ?
The answer to 25^{x/2}=125^{x+3} is x=-9/2
Solve for x: 25^{x/2}=125^{x+3}
The solution is x=-9/2