What is the answer to 0.24=log_{10}(x/(1-x)) ?

The answer to 0.24=log_{10}(x/(1-x)) is x=0.63474…

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0.24=log_{10}(x/(1-x))

0.24 = lo g_{10} (\frac{x}{1 - x})

x = 0.63474 \dots

Solution steps

0.24 = lo g_{10} (\frac{x}{1 - x})

Apply log rules

1 0^{0.24} = \frac{x}{1 - x}

Multiply both sides by

1 - x

1 0^{0.24} (1 - x) = \frac{x}{1 - x} (1 - x)

Simplify

1 0^{0.24} (1 - x) = x

Simplify

1.73780 \dots (1 - x) = x

Solve

1.73780 \dots (1 - x) = x : x = 0.63474 \dots

x = 0.63474 \dots

Verify Solutions:

x = 0.63474 \dots

True

The solution is

x = 0.63474 \dots

lo g_{10} (\frac{1}{x}) = - 4

lo g_{5} (x + 4) + lo g_{5} (x - 4) = 2

ln (7 x + 32) + ln (4) = 2 ln (x)

1 = lo g_{10} (2 x^{2} + 3 x - 22)

lo g_{x - 8} (x^{2} - 16) = 2

What is the answer to 0.24=log_{10}(x/(1-x)) ?
The answer to 0.24=log_{10}(x/(1-x)) is x=0.63474…
Solve for x: 0.24=log_{10}(x/(1-x))
The solution is x=0.63474…