What is the answer to (1/4)^{4x}=0.25 ?

The answer to (1/4)^{4x}=0.25 is x=-(ln(0.25))/(8ln(2))

Solve for x: (1/4)^{4x}=0.25

The solution is x=-(ln(0.25))/(8ln(2))

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(\frac{1}{4})^{4 x} = 0.25

x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

Decimal Notation

x = 0.25

Solution steps

(\frac{1}{4})^{4 x} = 0.25

Apply exponent rules

4 x ln (\frac{1}{4}) = ln (0.25)

Solve

4 x ln (\frac{1}{4}) = ln (0.25) : x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

e^{2 x} - e^{x} = 6

2^{x} = 2 + 3 x

3^{x} = 3

\frac{1 3 ^{5}}{1 3 ^{x}} = 1 3^{4}

6^{x + 1} + 6^{3 - x} = 222

What is the answer to (1/4)^{4x}=0.25 ?
The answer to (1/4)^{4x}=0.25 is x=-(ln(0.25))/(8ln(2))
Solve for x: (1/4)^{4x}=0.25
The solution is x=-(ln(0.25))/(8ln(2))