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

The answer to \sqrt[3]{25^5}=5^x is x= 10/3

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

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

Apply exponent rules

\frac{10}{3} = x

Switch sides

x = \frac{10}{3}

2^{x} = 900

e^{2 x} - 2 e^{x} - 35 = 0

2^{2 - x} = \frac{1}{8}

2 \cdot 3^{x - 2} = 54

3^{x} = 0.5

What is the answer to \sqrt[3]{25^5}=5^x ?
The answer to \sqrt[3]{25^5}=5^x is x= 10/3
Solve for x: \sqrt[3]{25^5}=5^x
The solution is x= 10/3