What is the answer to 1.092^{-n}=0.5613 ?

The answer to 1.092^{-n}=0.5613 is n=-(ln(0.5613))/(ln(1.092))

Solve for n: 1.092^{-n}=0.5613

The solution is n=-(ln(0.5613))/(ln(1.092))

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1.09 2^{- n} = 0.5613

n = - \frac{ln ( 0.5613 )}{ln ( 1.092 )}

Decimal Notation

n = 6.56168 \dots

Solution steps

1.09 2^{- n} = 0.5613

Apply exponent rules

- n ln (1.092) = ln (0.5613)

Solve

- n ln (1.092) = ln (0.5613) : n = - \frac{ln ( 0.5613 )}{ln ( 1.092 )}

n = - \frac{ln ( 0.5613 )}{ln ( 1.092 )}

3^{x} + 3^{x + 2} = 810

\frac{5 ^{x}}{5} = 5^{2}

3^{2 t - 2} = 7^{t + 2}

8^{x} = \frac{9}{9 ^{x}}

(\frac{5}{6})^{x} = \frac{6}{5}

What is the answer to 1.092^{-n}=0.5613 ?
The answer to 1.092^{-n}=0.5613 is n=-(ln(0.5613))/(ln(1.092))
Solve for n: 1.092^{-n}=0.5613
The solution is n=-(ln(0.5613))/(ln(1.092))