What is the answer to 13^{-9n}=58 ?

The answer to 13^{-9n}=58 is n=-(ln(58))/(9ln(13))

Solve for n: 13^{-9n}=58

The solution is n=-(ln(58))/(9ln(13))

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1 3^{- 9 n} = 58

n = - \frac{ln ( 58 )}{9 ln ( 13 )}

Decimal Notation

n = - 0.17589 \dots

Solution steps

1 3^{- 9 n} = 58

Apply exponent rules

- 9 n ln (13) = ln (58)

Solve

- 9 n ln (13) = ln (58) : n = - \frac{ln ( 58 )}{9 ln ( 13 )}

n = - \frac{ln ( 58 )}{9 ln ( 13 )}

3 = 6 e^{- 0.5 x}

3^{x + 2} + 9^{x + 1} - 810 = 0

1 = lo g_{2} (ln (2^{x}))

6^{x - 1} = 36

What is the answer to 13^{-9n}=58 ?
The answer to 13^{-9n}=58 is n=-(ln(58))/(9ln(13))
Solve for n: 13^{-9n}=58
The solution is n=-(ln(58))/(9ln(13))