What is the answer to (1/4)^x= 1/250 ?

The answer to (1/4)^x= 1/250 is x=(ln(250))/(2ln(2))

Solve for x: (1/4)^x= 1/250

The solution is x=(ln(250))/(2ln(2))

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(\frac{1}{4})^{x} = \frac{1}{250}

x = \frac{ln ( 250 )}{2 ln ( 2 )}

Decimal Notation

x = 3.98289 \dots

Solution steps

(\frac{1}{4})^{x} = \frac{1}{250}

Apply exponent rules

x ln (\frac{1}{4}) = ln (\frac{1}{250})

Solve

x ln (\frac{1}{4}) = ln (\frac{1}{250}) : x = \frac{ln ( 250 )}{2 ln ( 2 )}

x = \frac{ln ( 250 )}{2 ln ( 2 )}

2 7^{3 x - 3} = 8 1^{2 x + 4}

x^{x} = 16

4^{x - 4} = 2^{x - 2}

5^{1 - x} = 2^{x}

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

What is the answer to (1/4)^x= 1/250 ?
The answer to (1/4)^x= 1/250 is x=(ln(250))/(2ln(2))
Solve for x: (1/4)^x= 1/250
The solution is x=(ln(250))/(2ln(2))