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

The answer to (1/4)^{4x}= 1/4 is x= 1/4

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

(\frac{1}{4})^{4 x} = \frac{1}{4}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

(\frac{1}{4})^{4 x} = \frac{1}{4}

Apply exponent rules

4 x = 1

Solve

4 x = 1 : x = \frac{1}{4}

x = \frac{1}{4}

5^{2 x - 1} = 1953125

5^{3 x} = 4^{x + 1}

10 e^{2 x + 1} = 100

e^{x - 9} = 5

x, e^{x} x = 0