What is the answer to 7*49^{2-2x}=343^{x-3} ?

The answer to 7*49^{2-2x}=343^{x-3} is x=2

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7*49^{2-2x}=343^{x-3}

7 \cdot 4 9^{2 - 2 x} = 34 3^{x - 3}

x = 2

Solution steps

7 \cdot 4 9^{2 - 2 x} = 34 3^{x - 3}

Apply exponent rules

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

Solve

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

x = 2

8^{x} = 2 \cdot 4^{2 x}

(\frac{1}{9})^{3 x - 1} = 2 7^{5 x - 4}

2 e^{2 x} = e^{x}

2 e^{\frac{1}{x}} = 42

3 2^{- 2 k} = 64

What is the answer to 7*49^{2-2x}=343^{x-3} ?
The answer to 7*49^{2-2x}=343^{x-3} is x=2
Solve for x: 7*49^{2-2x}=343^{x-3}
The solution is x=2