What is the answer to 0.9=(0.1)/(0.55^x) ?

The answer to 0.9=(0.1)/(0.55^x) is x=-(2ln(3))/(ln(0.55))

Solve for x: 0.9=(0.1)/(0.55^x)

The solution is x=-(2ln(3))/(ln(0.55))

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0.9 = \frac{0.1}{0.5 5 ^{x}}

x = - \frac{2 ln ( 3 )}{ln ( 0.55 )}

Decimal Notation

x = 3.67529 \dots

Solution steps

0.9 = \frac{0.1}{0.5 5 ^{x}}

Apply exponent rules

- x ln (0.55) = ln (9)

Solve

- x ln (0.55) = ln (9) : x = - \frac{2 ln ( 3 )}{ln ( 0.55 )}

x = - \frac{2 ln ( 3 )}{ln ( 0.55 )}

Verify Solutions:

x = - \frac{2 ln ( 3 )}{ln ( 0.55 )}

True

The solution is

x = - \frac{2 ln ( 3 )}{ln ( 0.55 )}

(3^{x}) (4^{2 x + 1}) = 6^{x + 2}

\frac{1 1 ^{x}}{1 1 ^{3}} = 1 1^{2}

5^{2 x} - 5^{x} - 12 = 0

e^{x} + e^{x} x = 0

2^{x} = \frac{2 ^{a} 2 ^{b}}{2 ^{c}}

What is the answer to 0.9=(0.1)/(0.55^x) ?
The answer to 0.9=(0.1)/(0.55^x) is x=-(2ln(3))/(ln(0.55))
Solve for x: 0.9=(0.1)/(0.55^x)
The solution is x=-(2ln(3))/(ln(0.55))