What is the answer to 25=0.25^x ?

The answer to 25=0.25^x is x=(2ln(5))/(ln(0.25))

Solve for x: 25=0.25^x

The solution is x=(2ln(5))/(ln(0.25))

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25 = 0.2 5^{x}

x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

Decimal Notation

x = - 2.32192 \dots

Solution steps

25 = 0.2 5^{x}

Apply exponent rules

ln (25) = x ln (0.25)

Solve

ln (25) = x ln (0.25) : x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

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

1 2^{t} = 24

1 6^{x + 7} = 4^{x + 3} \cdot 6 4^{5}

2 5^{- 3} = 5^{x}

1 6^{x + 1} = 4^{4 x + 1}

What is the answer to 25=0.25^x ?
The answer to 25=0.25^x is x=(2ln(5))/(ln(0.25))
Solve for x: 25=0.25^x
The solution is x=(2ln(5))/(ln(0.25))