What is the answer to 24^{-1/x}= 1/8 ?

The answer to 24^{-1/x}= 1/8 is x=(ln(24))/(3ln(2))

Solve for x: 24^{-1/x}= 1/8

The solution is x=(ln(24))/(3ln(2))

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2 4^{- \frac{1}{x}} = \frac{1}{8}

x = \frac{ln ( 24 )}{3 ln ( 2 )}

Decimal Notation

x = 1.52832 \dots

Solution steps

2 4^{- \frac{1}{x}} = \frac{1}{8}

Multiply both sides by

8

2 4^{- \frac{1}{x}} \cdot 8 = \frac{1}{8} \cdot 8

Simplify

2 4^{- \frac{1}{x}} \cdot 8 = 1

Divide both sides by

8

2 4^{- \frac{1}{x}} = \frac{1}{8}

Apply exponent rules

- \frac{1}{x} ln (24) = ln (\frac{1}{8})

Solve

- \frac{1}{x} ln (24) = ln (\frac{1}{8}) : x = \frac{ln ( 24 )}{3 ln ( 2 )}

x = \frac{ln ( 24 )}{3 ln ( 2 )}

Verify Solutions:

x = \frac{ln ( 24 )}{3 ln ( 2 )}

True

The solution is

x = \frac{ln ( 24 )}{3 ln ( 2 )}

(2)^{x} = 4^{x + 2}

lo g_{2} (2^{x + 1}) = 4

2 7^{5} = 3^{4 m + 3}

0.1 x + e^{0.25 x} = 2

2 = 2^{y}

What is the answer to 24^{-1/x}= 1/8 ?
The answer to 24^{-1/x}= 1/8 is x=(ln(24))/(3ln(2))
Solve for x: 24^{-1/x}= 1/8
The solution is x=(ln(24))/(3ln(2))