What is the answer to 8^{(7x+1)/x}=0.25 ?

The answer to 8^{(7x+1)/x}=0.25 is x=-3/23

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8^{(7x+1)/x}=0.25

8^{\frac{7 x + 1}{x}} = 0.25

x = - \frac{3}{23}

Decimal Notation

x = - 0.13043 \dots

Solution steps

8^{\frac{7 x + 1}{x}} = 0.25

8^{\frac{7 x + 1}{x}} = \frac{1}{4}

Apply exponent rules

\frac{3 ( 7 x + 1 )}{x} = - 2

Solve

\frac{3 ( 7 x + 1 )}{x} = - 2 : x = - \frac{3}{23}

x = - \frac{3}{23}

1. 1^{x} = 100

1. 2^{x} = (0.5)^{- x}

x, e^{- 1} = e^{x y}

2 5^{x} + 5^{x + 1} = 750

2^{x + 1} = 7

What is the answer to 8^{(7x+1)/x}=0.25 ?
The answer to 8^{(7x+1)/x}=0.25 is x=-3/23
Solve for x: 8^{(7x+1)/x}=0.25
The solution is x=-3/23