What is the answer to 27^{2x-1}=243^{2x-3} ?

The answer to 27^{2x-1}=243^{2x-3} is x=3

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27^{2x-1}=243^{2x-3}

2 7^{2 x - 1} = 24 3^{2 x - 3}

x = 3

Solution steps

2 7^{2 x - 1} = 24 3^{2 x - 3}

Apply exponent rules

3 (2 x - 1) = 5 (2 x - 3)

Solve

3 (2 x - 1) = 5 (2 x - 3) : x = 3

x = 3

1 6^{- x + 1} = 8

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

e^{x + 3} = π^{x}

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

2^{x + 1} + 2^{3 x} = 5 \cdot 2^{x + 4}

What is the answer to 27^{2x-1}=243^{2x-3} ?
The answer to 27^{2x-1}=243^{2x-3} is x=3
Solve for x: 27^{2x-1}=243^{2x-3}
The solution is x=3