What is the answer to (0.5)^{2x}=2^{1-3x} ?

The answer to (0.5)^{2x}=2^{1-3x} is x=1

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(0.5)^{2x}=2^{1-3x}

(0.5)^{2 x} = 2^{1 - 3 x}

x = 1

Solution steps

(0.5)^{2 x} = 2^{1 - 3 x}

(\frac{1}{2})^{2 x} = 2^{1 - 3 x}

Apply exponent rules

- 2 x = 1 - 3 x

Solve

- 2 x = 1 - 3 x : x = 1

x = 1

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

5^{x} = - 25

25 6^{- 5} = 4^{x - 4}

40000 = 30000 \times (1 + 0.04)^{x}

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

What is the answer to (0.5)^{2x}=2^{1-3x} ?
The answer to (0.5)^{2x}=2^{1-3x} is x=1
Solve for x: (0.5)^{2x}=2^{1-3x}
The solution is x=1