What is the answer to (\sqrt[3]{5^4})^x=15.625 ?

The answer to (\sqrt[3]{5^4})^x=15.625 is x=(3ln(15.625))/(4ln(5))

Solve for x: (\sqrt[3]{5^4})^x=15.625

The solution is x=(3ln(15.625))/(4ln(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x = \frac{3 ln ( 15.625 )}{4 ln ( 5 )}

Decimal Notation

x = 1.28097 \dots

Solution steps

Apply exponent rules

4 \cdot \frac{1}{3} x ln (5) = ln (15.625)

Solve

4 \cdot \frac{1}{3} x ln (5) = ln (15.625) : x = \frac{3 ln ( 15.625 )}{4 ln ( 5 )}

x = \frac{3 ln ( 15.625 )}{4 ln ( 5 )}

- 3 = 4 e^{x} + x - 7

\frac{1}{6} = 6^{4 x - 3}

7^{2 x + 3} = 42

2^{5 x - 4} = 10

10 (4)^{x} = 20 (6)^{3 x}

What is the answer to (\sqrt[3]{5^4})^x=15.625 ?
The answer to (\sqrt[3]{5^4})^x=15.625 is x=(3ln(15.625))/(4ln(5))
Solve for x: (\sqrt[3]{5^4})^x=15.625
The solution is x=(3ln(15.625))/(4ln(5))