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

The answer to 2^{3x-2}=16^{x+4} is x=-18

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

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

x = - 18

Solution steps

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

Apply exponent rules

3 x - 2 = 4 (x + 4)

Solve

3 x - 2 = 4 (x + 4) : x = - 18

x = - 18

3^{x} + 3^{1 - x} - 4 = 0

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

2^{x + 1} + 2^{3 - x} = 17

2^{5 x} = 94

\frac{1}{8} = 8^{x}

What is the answer to 2^{3x-2}=16^{x+4} ?
The answer to 2^{3x-2}=16^{x+4} is x=-18
Solve for x: 2^{3x-2}=16^{x+4}
The solution is x=-18