What is the answer to 243/3125 =(3/5)^{3n-1} ?

The answer to 243/3125 =(3/5)^{3n-1} is n=2

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243/3125 =(3/5)^{3n-1}

\frac{243}{3125} = (\frac{3}{5})^{3 n - 1}

n = 2

Solution steps

\frac{243}{3125} = (\frac{3}{5})^{3 n - 1}

Apply exponent rules

5 = 3 n - 1

Solve

5 = 3 n - 1 : n = 2

n = 2

2 + 5 e^{2 x - 5} = 3

8^{x} - 5^{x} = 0

x^{x^{3}} = 256

3^{2 x - 1} = 7^{3 x + 4}

1.0 7^{x} = 5.07

What is the answer to 243/3125 =(3/5)^{3n-1} ?
The answer to 243/3125 =(3/5)^{3n-1} is n=2
Solve for n: 243/3125 =(3/5)^{3n-1}
The solution is n=2