What is the answer to 4^{3x-2}=16^{2x-4} ?

The answer to 4^{3x-2}=16^{2x-4} is x=6

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4^{3x-2}=16^{2x-4}

4^{3 x - 2} = 1 6^{2 x - 4}

x = 6

Solution steps

4^{3 x - 2} = 1 6^{2 x - 4}

Apply exponent rules

3 x - 2 = 2 (2 x - 4)

Solve

3 x - 2 = 2 (2 x - 4) : x = 6

x = 6

4 = 7^{x}

20 e^{10 x} = 5

2^{x + 1} = 1 6^{x + 7}

4^{3 x} = 12

5^{3 x + 1} = 1

What is the answer to 4^{3x-2}=16^{2x-4} ?
The answer to 4^{3x-2}=16^{2x-4} is x=6
Solve for x: 4^{3x-2}=16^{2x-4}
The solution is x=6