What is the answer to 5^{4x}= 1/5 sqrt(5) ?

The answer to 5^{4x}= 1/5 sqrt(5) is x=-1/8

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5^{4x}= 1/5 sqrt(5)

5^{4 x} = \frac{1}{5} 5

x = - \frac{1}{8}

Decimal Notation

x = - 0.125

Solution steps

5^{4 x} = \frac{1}{5} 5

Apply exponent rules

4 x = - \frac{1}{2}

Solve

4 x = - \frac{1}{2} : x = - \frac{1}{8}

x = - \frac{1}{8}

3^{2 x + 1} = 2^{x - 4}

x, e^{x} = - 1

4^{x} - 20 \cdot 2^{x} + 64 = 0

7^{x} = e^{x + 6}

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

What is the answer to 5^{4x}= 1/5 sqrt(5) ?
The answer to 5^{4x}= 1/5 sqrt(5) is x=-1/8
Solve for x: 5^{4x}= 1/5 sqrt(5)
The solution is x=-1/8