What is the answer to 5^{-n}=125^{3n+5} ?

The answer to 5^{-n}=125^{3n+5} is n=-3/2

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5^{-n}=125^{3n+5}

5^{- n} = 12 5^{3 n + 5}

n = - \frac{3}{2}

Solution steps

5^{- n} = 12 5^{3 n + 5}

Apply exponent rules

- n = 3 (3 n + 5)

Solve

- n = 3 (3 n + 5) : n = - \frac{3}{2}

n = - \frac{3}{2}

e^{x + l n (4)} = 3 e^{x}

x + e^{x} = 1

e^{4 x} = \frac{10}{e ^{- 2 x}}

4^{x + 1} = (\frac{1}{8})^{x}

4^{x} + 5 \cdot 2^{x} = 6

What is the answer to 5^{-n}=125^{3n+5} ?
The answer to 5^{-n}=125^{3n+5} is n=-3/2
Solve for n: 5^{-n}=125^{3n+5}
The solution is n=-3/2