What is the answer to 2^{11x}=2^{x-4} ?

The answer to 2^{11x}=2^{x-4} is x=-2/5

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2^{11x}=2^{x-4}

2^{11 x} = 2^{x - 4}

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

2^{11 x} = 2^{x - 4}

Apply exponent rules

11 x = x - 4

Solve

11 x = x - 4 : x = - \frac{2}{5}

x = - \frac{2}{5}

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

(2^{x}) (4^{x + 1}) = 8

7^{x + 3} = 4 9^{x + 3}

5^{3 x - 7} = 25

2 5^{(x + 2)} = 1