What is the answer to 5^{\sqrt[3]{x}}= 1/25 ?

The answer to 5^{\sqrt[3]{x}}= 1/25 is x=-8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{\sqrt[3]{x}}= 1/25

x = - 8

Solution steps

Apply exponent rules

Solve

x = - 8

(\frac{1}{5})^{x + 3} = 2 5^{- x}

3^{2 x - 5} = 18

5^{2 x + 1} = \frac{1}{125}

6^{2 + 2} = 7^{x - 1}

6^{3 - 2 x} = 36

What is the answer to 5^{\sqrt[3]{x}}= 1/25 ?
The answer to 5^{\sqrt[3]{x}}= 1/25 is x=-8
Solve for x: 5^{\sqrt[3]{x}}= 1/25
The solution is x=-8