What is the answer to 12=(100)/(2^{x/(10))} ?

The answer to 12=(100)/(2^{x/(10))} is x=-(10ln(3/25))/(ln(2))

Solve for x: 12=(100)/(2^{x/(10))}

The solution is x=-(10ln(3/25))/(ln(2))

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12 = \frac{100}{2 ^{\frac{x}{10}}}

x = - \frac{10 ln ( \frac{3}{25} )}{ln ( 2 )}

Decimal Notation

x = 30.58893 \dots

Solution steps

12 = \frac{100}{2 ^{\frac{x}{10}}}

Apply exponent rules

- \frac{x}{10} ln (2) = ln (\frac{3}{25})

Solve

- \frac{x}{10} ln (2) = ln (\frac{3}{25}) : x = - \frac{10 ln ( \frac{3}{25} )}{ln ( 2 )}

x = - \frac{10 ln ( \frac{3}{25} )}{ln ( 2 )}

Verify Solutions:

x = - \frac{10 ln ( \frac{3}{25} )}{ln ( 2 )}

True

The solution is

x = - \frac{10 ln ( \frac{3}{25} )}{ln ( 2 )}

2^{x} = x

x, 2 a^{x + 1} + 4^{y + 1} = 96

2^{y} = 1.59

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

3 = 2^{x}

What is the answer to 12=(100)/(2^{x/(10))} ?
The answer to 12=(100)/(2^{x/(10))} is x=-(10ln(3/25))/(ln(2))
Solve for x: 12=(100)/(2^{x/(10))}
The solution is x=-(10ln(3/25))/(ln(2))