What is the answer to 3^{3x+1}=81^{x-1} ?

The answer to 3^{3x+1}=81^{x-1} is x=5

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3^{3x+1}=81^{x-1}

3^{3 x + 1} = 8 1^{x - 1}

x = 5

Solution steps

3^{3 x + 1} = 8 1^{x - 1}

Apply exponent rules

3 x + 1 = 4 (x - 1)

Solve

3 x + 1 = 4 (x - 1) : x = 5

x = 5

5^{x} = 2^{x + 1}

x^{5 + l o g_{10} (x)} = 1 0^{- 6}

3^{2 x + 3} = 243

x, 4^{x} + 5^{y} = 21

m, x^{m - 1} = 0

What is the answer to 3^{3x+1}=81^{x-1} ?
The answer to 3^{3x+1}=81^{x-1} is x=5
Solve for x: 3^{3x+1}=81^{x-1}
The solution is x=5