What is the answer to 25^x=0.25 ?

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

Solve for x: 25^x=0.25

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

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2 5^{x} = 0.25

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

Decimal Notation

x = - 0.43067 \dots

Solution steps

2 5^{x} = 0.25

Apply exponent rules

x ln (25) = ln (0.25)

Solve

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

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

3^{2 x + 2} = 9^{10}

1000 = 2^{n}

9^{x - 1} - 3^{x - 2} = 8

0. 5^{6 x - 2 x} = 32

5^{x} = 0

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