What is the answer to 3^{2x-1}=81^{2x-4} ?

The answer to 3^{2x-1}=81^{2x-4} is x= 5/2

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3^{2x-1}=81^{2x-4}

3^{2 x - 1} = 8 1^{2 x - 4}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

3^{2 x - 1} = 8 1^{2 x - 4}

Apply exponent rules

2 x - 1 = 4 (2 x - 4)

Solve

2 x - 1 = 4 (2 x - 4) : x = \frac{5}{2}

x = \frac{5}{2}

6 \cdot 2^{n - 1} = 49152

2 (3)^{x} = 34, lo g_{10} (x)

9 x 2 7^{x} = 27

a = 27.2 e^{0.031 t}

79 \cdot 1 0^{5 x} = 78

What is the answer to 3^{2x-1}=81^{2x-4} ?
The answer to 3^{2x-1}=81^{2x-4} is x= 5/2
Solve for x: 3^{2x-1}=81^{2x-4}
The solution is x= 5/2