What is the answer to (25)^{4x^2-3x}= 1/5 ?

The answer to (25)^{4x^2-3x}= 1/5 is x= 1/2 ,x= 1/4

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(25)^{4x^2-3x}= 1/5

(25)^{4 x^{2} - 3 x} = \frac{1}{5}

x = \frac{1}{2}, x = \frac{1}{4}

Decimal Notation

x = 0.5, x = 0.25

Solution steps

(25)^{4 x^{2} - 3 x} = \frac{1}{5}

Apply exponent rules

2 (4 x^{2} - 3 x) = - 1

Solve

2 (4 x^{2} - 3 x) = - 1 : x = \frac{1}{2}, x = \frac{1}{4}

x = \frac{1}{2}, x = \frac{1}{4}

2^{3 x} = 172

y, x = 2 e^{- y}

e^{2 x} + 2 e^{x} = 15

e^{x} - x = 1

e^{x} - x = 2

What is the answer to (25)^{4x^2-3x}= 1/5 ?
The answer to (25)^{4x^2-3x}= 1/5 is x= 1/2 ,x= 1/4
Solve for x: (25)^{4x^2-3x}= 1/5
The solution is x= 1/2 ,x= 1/4